To do a bungee jump people need to be given a bungee rope that will stretch the right amount for their weight which is why it must be measured and is denoted as option A.
What is Weight?This is referred to as the force which acts on a body or object as a result of gravity and is denoted as:
W = mg where m is mass and g is acceleration due to gravity.
In the case of a bungee jump, a rope is used and the weight of individuals have to be known so as to select the one which can stretch the right amount to prevent accidents.
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In the movie Polar Express the hero boy character walks across the top of the train in order to return a lost ticket to another child. Instead he encounters a man.
Assume the train is traveling in a perfectly straight line, and both the train and boy maintain constant speeds. The boy's initial position is 1.5 m and the man's initial position is 17.2 m. If the train/man are moving at a constant velocity of 72 m/s, and the boy is walking at a constant velocity of 0.5 m/s, what position will they all have when the boy reaches the man? Round your answer to the nearest 1 m.
This issue is best answered using a calculator and trigonometric concepts to provide the most accurate answer. Finding the total of all horizontal (east-west) and total of all vertical (north-south) displacements is the first stage.
Applying the Pythagorean theorem leads to the magnitude of the resultant (R).
R2 = (30.0 m)2 + (4.0 m)2 = 916 m2
R = Sqrt(916 m2)
R = 30.3 meters
This angle theta is the angle between west and the resultant. Directions of vectors are expressed as the counterclockwise angle of rotation relative to east. So the direction is 7.59 degrees short of 180 degrees. That is, the direction is ~172 degrees.
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How tall is a stack of 12 of these boxes?
The total length of the boxes stacked up is determined as 60 cm.
What is stack of boxes?
A stack of boxes is a group of boxes packed up or aligned together in an orderly manner.
Stacking up boxes allow us to keep those special items in an orderly manner which makes them easily accessible in the future whenever necessary.
If a box measures 5 cm, the total length of the 12 boxes is calculated as follows;
total length of the boxes = height of one x total number of boxes
total length of the boxes = 5 cm x 12
total length of the boxes = 60 cm
Thus, the total length of the boxes stacked up is determined as 60 cm.
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The complete question is below:
A box measures 5 cm. How tall is a stack of 12 of these boxes?
A sample contains 10 g of a radioactive isotope. How much radioactive
isotope will remain in the sample after half-life?
• A. 5.0 g
• B. 7.5 g
O c. 2.5 g
O D. 10.0 g
c. 2.5 g radioactive isotope will remain in the sample after half-life
The sample will degrade from 10 g to 5 g over the first half-life. The isotope's second half-life will see a 5 g to 2.5 g decay.
What exactly are radioactive isotopes used for?There are several uses for radioactive isotopes. Cobalt-60, for instance, is frequently used as a radiation source in medicine to halt the spread of cancer. For diagnostic reasons and in studies on metabolic processes, other radioactive isotopes are utilised as tracers.
used in oil well research and to find leaks in industrial pipe networks. used in nuclear medicine for cancer diagnosis and nuclear cardiology. used to examine the metabolism and development of bones.
By neutron activation in a nuclear reactor, which is the most typical technique of creating radioisotopes
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Differentiate between velocity, acceleration, and deceleration.
(This is for my cyber physical education, i don't have physics yet but i couldn't find physical education in the pick a subject :/)
DO NOT COPY FROM WEBSITE !!!!!!!!!!!!!!!!!!!!!!!!!!!
IF COPIED I WILL REPORT!!!!!!!!
Velocity is the change in displacement of an object with time, while acceleration is the change in velocity of an object with time and deceleration is the acceleration in the negative direction.
What is acceleration?
The acceleration of an object is the rate of change of velocity of the object with time.
a = Δv/Δt
where;
a is acceleration of the objectΔv is change in velocityΔt is change in time of motionWhat is velocity?The velocity of an object the rate of change of displacement of the object with time.
v = Δx/Δt
where;
Δx is change in displacementΔt is change in timeWhat is deceleration?Deceleration is acceleration in the acceleration of an object in the negative direction.
Thus, velocity is the change in displacement of an object with time, while acceleration is the change in velocity of an object with time and deceleration is the acceleration in the negative direction.
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A merry-go-round of radius 2.00m is rotating about a frictionless pivot. it makes one revolution every 5.00s. the moment of inertia of the merry-go-round (about an axis through its center) is 500kgm2. A child of mass 25.0kg, originally standing at the rim, walks in to the exact center. What is the new angular speed of the merry-go-round?
The new angular speed of the merry-go-round is 1.05 rad/s.
What is the principle of conservation of angular momentum?
The law of conservation of angular momentum states that when the net external torque acting on a system about a given axis is zero, the total angular momentum of the system about that axis remains constant.
I₁ω₁ = I₂ω₂
where;
I₁ is the initial moment of inertiaI₂ is the final moment of inertiaω₁ is the initial angular velocityω₂ is the final angular velocityInitial angular velocity of the merry go round is calculated as follows;
ω₁ = 2π rad / (5 s) = 1.257 rad/s
Moment of inertia of the child = MR² = 25 x 2² = 100 kgm²
New angular speed of the merry go roundω₂ = I₁ω₁/I₂
ω₂ = (500 x 1.257) / (500 + 100)
ω₂ = 1.05 rad/s
Thus, the new angular speed of the merry-go-round is 1.05 rad/s.
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Critical Thinking 1. One day, a group of neighbourhood degs Started barking on their own. The residents living in that area are left wondering what provoked the dogs to bark. What could be the reason?
The reason behind the barking of the group of neighborhood dogs could be Territorial/Protective or Alarm/Fear.
What is bark or barking?
Dogs are known for making the most prevalent barking noises. Wolves, coyotes, foxes, seals, and barking owls are a few other creatures that make this sounds. The most typical onomatopoeia for this sound in English, particularly for large dogs, is "woof." The word "bark" can also be used to describe the sound made by numerous canids. A bark is a brief vocalization, as per the researchers at the University of Massachusetts Amherst.
Territorial/Protective: When a person or another animal enters their perceived area, your dog may bark excessively, depending on the breed. The barking frequently gets louder as the threat draws closer. When your dog barks in this manner, he will appear vigilant and sometimes even hostile.
Alarm/Fear: Some dogs will bark in alarm or fear at any sound or item that draws their attention or alarmed them. It's not just in their home country where this can occur. When they are afraid, their tails will be tucked and their ears will be pulled back.
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An autographed baseball rolls off of a 1.2 m
high desk and strikes the floor 0.76 m away
from the desk. How fast was it rolling on the desk before
it fell off? The acceleration of gravity is 9.81 m/s2.
The autographed baseball rolled off at 0.3762m/s before it fell off.
What is acceleration?Acceleration is the rate of change of the velocity of an object with respect to time.
Given the following data:
Initial velocity = 0 m/s (assuming it started from rest).
Vertical distance = 1.2 meters
Horizontal distance = 0.76 meters
Acceleration due to gravity = 9.81
To find how fast the autographed baseball was rolling on the desk before it fell off:
we will use the second equation of motion to determine the time required:
S = ut + 1/2at²
Where:
S is the displacement or distance covered.
u is the initial velocity.
a is the acceleration.
t is the time measured in seconds.
Substituting the given values into the formula, we have;
S = ut + 1/2at²
=0*t + 1/2 * 9.81 * t²
t = 2.02 seconds
Next, we would determine the horizontal speed:
horizontal speed= horizontal distance/time
horizontal speed=0.76/2.02
horizontal speed=0.3762m
Horizontal speed = 0.3762m/s
Therefore, the autographed baseball rolled off at 0.3762m/s before it fell off.
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A drone starts from rest and travels 50m with an acceleration of 5 m/s2. How long does
this take?
A 4.5 s
B 20 s
C 10.5 s
D 48.5 s
A drone starts from rest and travels 50m with an acceleration of 5 m/s2. it takes 4.5s.
What is acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
u= 0m/s
s = 50m
a = 5m/s²
t = ?
s = ut + 1/2 at²
50 = 0 + 1/2 * 5 * t²
t² = 50 *2/5
t² = 20s
t = 4.47s
t = 4.5s
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When wire rope is used for lifting with a bridge crane, the ratio of the diameter of the sheave to the diameter of the wire rope should be no less than…?
The ratio of the sheave diameter should be at least 20 times and no less than 18 times of the diameter of the wire rope.
Always make sure that the pulley or sheave's groove diameter is more than the rope's actual diameter. However, the rope will tend to flatten if the groove diameter is too wide, and it will squeeze the rope if it is too tiny.
The rope pitch diameter of every sheave utilized in the boom hoist reeving system must be at least 18 times the rope's nominal diameter.
We advise a sheave diameter about 20 times that of the rope since a sheave's Outside Diameter is typically 1 to 2 inches larger than its Pitch Diameter.
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Taking into account the atomic structure, what do the period and the group of the periodic table mean?
The description of the period and the group in accordance with the atomic structure can be found below.
What is the periodic table?Periodic table is the tabular chart of the chemical elements according to their atomic numbers so that elements with similar properties are in the same group (column).
The periodic table is made up of groups and periods. The groups are the vertical columns of the periodic table arranged based on the outer shell electrons while periods are the horizontal rows of the periodic table.
Elements in the same period have the same number of outer electrons and have the same number of electron shells while elements in the same group have the same number of outermost electrons, hence, behave chemically similar.
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According to the conservation of momentum, if a smaller football player collides with a
much larger football player, what can be said about the movement of each player after
the collision?
Although the bigger football player will still move, his speed will be substantially slower than the smaller players due to his greater mass.
Two equal and opposing forces are generated at the place of collision when the collision occurs. The more enormous mass will be forced to accelerate by force applied to it, and the smaller group will be forced to slow down by force applied to it.Larger masses will experience less acceleration due to their lower acceleration, which will result in a lower velocity.Momentum happens whenever a person or item moves, but it is especially crucial in sports and situations where collisions happen. A simple method to understand momentum is to see it as a tool that a sportsperson can use to affect a different object or an opponent. A hockey player's high-velocity puck hit can have enough momentum to push the goalie backward. Even though a puck is light and has little mass, National Hockey League players may hit it at speeds of over 100 mph (160 km/h) because momentum is a function of mass and velocity. The puck and the goaltender, along with the goalie's pads, mask, gloves, skates, and stick, briefly unite as the puck strikes the goalie.Complete question: According to the conservation of momentum, if a more minor football player collides with a much larger football player, what can be said about each player's movement after the collision?
A. The larger football player will move, but because of his larger mass, his velocity will be much slower than the smaller player
B. The smaller football player will be stopped completely, his mass being not enough to move the larger one
C. The larger football player will have to start moving towards the smaller one as it collides if there is to be any effect
D. The smaller football player will experience a larger force than the larger football player
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What is the motional kinetic energy of a 25 kg object moving at a speed of 10 m/s?
1250kgm²/s is the motional kinetic energy of a 25kg object moving at a speed of 10m/s
Kinetic energy of an object is defined as the energy which is possessed when that is in motion. It is the energy of the kinetic mass of an object. Kinetic energy is never negative and is a scalar quantity. That is, it shows only size, not orientation.
Given to us
Mass of the object, m=25kg
Velocity of the object, v=10m/s
K.E=1/2x25x10²
=1250
Kinetic energy is directly proportional to the mass and velocity squared (K.E.) of an object. =1/2xMxV². If the mass is in kilograms and the velocity is in meters/second, then the kinetic energy is in kilograms - meters squared/second.
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If you throw a baseball horizontally with an intial speed of 25.0 m/s from ha height of 1.80 m how long will it take the ball to hit the ground
The time taken for the ball to hit the ground from a height of 1.8 m is 0.61 seconds
How to determine the timeFrom the question given above, the following data were obtained:
Initial velocity (u) = 25 m/sHeight (h) = 1.8 mAcceleration due to gravity (g) = 9.8 m/s²Time (t) =?The time taken for the ball to hit the ground can be obtained as illustrated below:
h = ½gt²
1.8 = ½ × 9.8 × t²
1.8 = 4.9 × t²
Divide both side by 4.9
t² = 1.8 / 4.9
Take the square root of both side
t = √(1.8 / 4.9)
t = 0.61 s
Thus, it will take 0.61 seconds for the ball to hit the ground
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A 150.0 g pot of water at room temperature (22.0°C) is placed on a stove. How much heat is required to change this water to steam at 100.0°C?
The amount of heat required to change this water to steam at 100.0°C is 48,976.2 J.
Heat required to change the state of the waterThe amount of heat required to change the temperature of the water at 22 degrees Celsius to 100 degrees Celsius is calculated as follows;
Q = mcΔθ
where;
m is mass of the waterc is specific heat capacity of water = 4.186 J/gCΔθ is change in temperature of the waterSubstitute the given parameters and solve for the energy required to change the phase of the water.
Q = (150g)(4.186 J/gC)(100C - 22C)
Q = 48,976.2 J
Thus, the amount of heat required to change this water to steam at 100.0°C is 48,976.2 J.
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A fighter pilot is exposed to an acceleration of 3g in the horizontal direction during takeoff. Knowing that 1g-9.8 m/s² and that the mass of the fighter pilot is 51.7 kg. what force (in
Newtons) does the fighter pilot experience in the horizontal direction? This is the force that she feels "pressing her into the back of the seat."
1520 N Force she feels "pressing her into the back of the seat."
We have given in the statement :
In horizontal direction,
a = 3 g
a= 3×9.8 m/s^2
a= 29.4 m/s^2
Now using force formula to find the magnitude
F = m×a
F= 51.7 Kg × 29.4 m/s^2
F= 1520 N
A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects after the interaction ends. Only when there is interaction do forces actually exist.The standard metric unit known as the Newton is used to quantify force. "N" stands for Newton in abbreviation.To know more about Force visit : https://brainly.com/question/19734564
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Which statements describe supporters of the New Jersey Plan? Choose two correct answers.
They thought that each state should have equal representation in Congress.
They thought that the largest states should have the most say in the new government.
They believed that the United States had been created by the states rather than the people.
They wanted the new national government to have a bicameral legislature.
They feared that the voices of the people would get lost if states were given too much power.
Answer:
Your answers are A and C.
Explanation:
Have an amazing day/night. I am so sorry I do not have the explanation you are looking for. But I did get this right on the assignment.
WHAT IS greenhouse EFFECT?
Answer: the trapping of the sun's warmth in a planet's lower atmosphere, due to the greater transparency of the atmosphere to visible radiation from the sun than to infrared radiation emitted from the planet's surface.
Explanation:
Answer:
The greenhouse effect is a process that occurs when energy from a planet's host star goes through its atmosphere and heats the planet's surface, but greenhouse gases in the atmosphere prevent some of the heat from returning directly to space, resulting in a warmer planet
Writing in Science
5. Identify all the different forms of energy
and all the energy transformations that you
see in the picture below. Write your
response in your Science Journal. sc.7.P.11.2
The different forms of energy involved here are sound energy, potential energy, kinetic energy and heat energy, potential energy changes into heat energy and sound energy to kinetic energy.
What is energy transformation?Energy conserved in nature and their soul cannot be created nor destroyed in an isolated system there is always a change of energy from one form of energy to another.
What is conservation of energy?Conservation of energy states that in an associated system we cannot create and destroy energy it always transforms one form of energy to another.
According to the question:
A person hits a ball with a golf stick.
Here first the person stretches his arm generating potential energy as it hits the ball this potential energy gets converted into three types of energy simultaneously.
First it will convert into heat energy some part of potential energy will also convert into sound energy and finally the large part of the potential energy will get converted into kinetic energy.
Therefore, The different forms of energy involved here are sound energy potential energy kinetic energy and heat energy, potential energy changes into heat energy and sound energy to kinetic energy.
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find the derivative of y with respect to time:. 2√t/3(√t)^2
Answer:
See below
Explanation:
2√t/(3(√t)^2) I added parentheses for what I think you were asking
This equals 2/3 * t^1/2 / t
= 2/3 * t ^-1/2
derivative is -1/2 * 2/3 * t ^(-1/2 -1)
- 1/3 t^(-3/2)
.......................is a force, measured in newtons.
Weight
Mass
Gravity
Answer:
Weight
Explanation:
If it is wrong then tell me to edit my answer
Please select the correct answer. Physics is basically divided into experimental and theoretical physics. Physics is divided into practical and theoretical physics. Based on physics, it is divided into practical and theoretical physics. Based on physics, it is divided into experimental and theoretical physics.
Physics can be broadly divided into experimental physics and theoretical physics.
Theoretical physics is a branch of physics that uses mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict natural phenomena. This is in contrast to experimental physics, which uses experimental tools to study these phenomena.
Scientific progress in general depends on the interplay of experimental research and theory. In some cases, theoretical physics adheres to mathematical rigor and gives little weight to experiments and observations.
Theoretical: The ratio of possible ways an event can occur to the total number of outcomes. Experimental: The ratio of the number of occurrences of the event to the total number of outcomes.
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Answer:
Physics can be broadly divided into experimental physics and theoretical physics.
Explanation:
What do the three dream theories all have in common?
Dream theories have in common that they are related to conceptions about reality.
What are dream theories?Dream theories are a series of theories that focus on explaining the dreams that an individual experiences when sleeping.
What theories of sleep exist?There are three main theories about dreams that are:
Activation-synthesis theory: This theory states that the brain is randomly activated during sleep and that brain activity is generally associated with memories and sensory information.
Theory of psychoanalysis: This theory states that dreams contain unconscious information for the individual about his interpretation of reality. This information is later synthesized and processed by reason so that the individual takes it as a meaningful message.
Threat Rehearsal Theory: This theory states that dreams are "rehearsals" of risk situations in which situations that are considered dangerous to the individual are simulated and in which the brain is trained to act in them.
What similarities do these theories have?The main similarity that these three theories have is that they are related to the interpretation that the individual has of his reality and the sensory information of his interaction with the environment.
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A marble is thrown downward at a speed of 10.0 m/s from the top of a 30.0 m tall
building. 0.50 s later, a second marble is thrown downward. At what speed must the
second marble be thrown so that the two marbles reach the ground at the same time?
The speed of the second marble must be 14.8 m/s so that the two marbles reach the ground at the same time.
What is the time taken bey the first stone to reach the ground?The time taken by the first stone to reach the ground is calculated using the formula below:
h = ut + ¹/₂gt²
where:
h is the heightu is initial velocity or speedt is timeg is acceleration due to gravityFrom the data provided;
h = 30, u = 10m/s, g = 9.8 m/s
30 = 10t + 0.5 * 9.8t²
30 = 10t + 4.9t²
4.9t² + 10t - 30 = 0
t = 1.65 s
For the second marble, time taken = 1.65 - 0.50
t = 1.15 s
Initial velocity, u will be:
30 = u(1.15) + 0.5 * 9.8 * 1.15²
1.15u = 30 - 12.96
u = 14.8 m/s
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During the 2014 Olympic games, a snowboarder rose 6.2 m vertically above the rim of the half-pipe. With what speed did he launch from the rim?
During the 2014 Olympic games, the speed of launch of the rim v = 11.024m/s.
Equation :To find the speed we can use straight line motion equations,
So,
v = u + at
v² = u² + 2as
s = ut + ½at²
v =?
u = 0
distance, s = 6.2m
t is not known
a is acceleration due to gravity
So,
v² = u² + 2as
v² = u² + 2 (9.8m/s²) 6.2m
v² = 0² + 121.52
v = √121.52
v = 11.024 m/s
Therefore, the speed of launch is 11.024m/s.
What is Motion in a Straight Line?An object is said to be in motion if its position in relation to its surroundings changes over time. It is a shift in an object's position over time. Linear motion is the only type of motion that exists.
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A plane glides towards a ground-based radar dish. Radar locates the plane at a distance D = 22 km from the dish, at an angle θ = 51° above horizontal. Part C write an expression for position vector D, in rectangular Cartesian unit-vector for using the coordinate axis provided in the problem statement
The correct answer is :
Unit vectors I and j along the x-axis and y-axis, respectively, define the Cartesian coordinate system. The radial unit vector r, which indicates the direction from the origin, and the unit vector t, which is orthogonal (perpendicular) to the radial direction, together create the polar coordinate system.
We can obtain the horizontal component by applying the trigonometric identity of Cos(Ф), and if we obtain the component on the x axle, such as 22000 (m)×Cos(51°) = x, we may determine that x = 13845.05 metres. We need to obtain the vector components because we already know the distance and the angle.
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In the equation for Newton's second law, what does Fnet stand for?
Question 14 options:
Net external force
Internal force
Frictional force
In the Newton's Second Law, F net stands for the net external force. Newton's second law is based upon the relationship between acceleration and mass of an object. Thus, A is the correct option.
What is Force?
The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. Force is an influence that can change the motion of an object.
F net = m × a
where, F net = Net external force applied on an object
m = mass of an object
a = acceleration
An external force can change the velocity of an object which can result into acceleration of that object. This acceleration depends upon mass of the body. Therefore, A is the correct option.
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A hockey puck slides off the edge of a horizontal platform with an initial velocity of 28.0 m/shorizontally in
a city where the acceleration due to gravity is 9.81 m/s2. The puck experiences no significant air resistance as
it falls. The height of the platform above the ground is 2.00 m. What is the angle below the horizontal of the
velocity of the puck just before it hits the ground?
The angle below the horizontal of the velocity of the puck just before it hits the ground is 12.6°.
Given:
v₀x=28m/s
v₀y=0m/s
y₀=2.00m
x₀=0m
we know that velocity of an object is defined as the speed of that thing in a direction. rate of change in the velocity is acceleration . so here first we are calculating the time and then we are finding the speed of the object
yf=y₀+v₀yt+1/2at²
yf=0
0=2.00m+0m/s+1/2(−9.8m/s²)t²
4.9 m/s² t²=2.00m
t=1.025s
Then using time to calculate the final x-position...
x=x₀+v₀xt+1/2at²
x=0m+(28ms)(0.64s)+0
x=28.7m/s
After we got the speed then finally we are putting that in a triangle and we are finding the angle.
tan(θ)=2.00/28.7
θ=12.6°
So from the above we got that the angle is 12.6°
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Two charged particles are a distance of 1.92 m from each other. One of the particles has a charge of 7.24 nC, and the other has a charge of 3.78 nC.
What is the magnitude (in N) of the electric force that one particle exerts on the other?
Is the force attractive or repulsive?
1. The magnitude (in N) of the electric force that one particle exerts on the other is 6.68×10⁻⁸ N
2. The force is repulsive
Coulomb's law equationColulomb's law states as follow:
F = Kq₁q₂ / r²
Where
F is the force of attraction K is the electrical constant q₁ and q₂ are two point charges r is the distance apartWith the above formula, we can determine the force as illustrated below:
The following data were obtained from the question:
Distance apart (r) = 1.92 mCharge 1 (q₁) = 7.24 nC = 7.24×10⁻⁹ CCharge 2 (q₂) = 3.78 nC = 3.78×10⁻⁹ CElectric constant (K) = 9×10⁹ Nm²/C²Force (F) =?F = Kq₁q₂ / r²
F = (9×10⁹ × 7.24×10⁻⁹ × 3.78×10⁻⁹) / (1.92)²
F = 6.68×10⁻⁸ N
Thus, the magnitude of the force that one particle exert on the other is 6.68×10⁻⁸ N
The force is repulsive since the charges on each particle has the same sign
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A competitive go-cart driver is traveling 32 m/s. He sees a caution flag go up, so he slows at a rate of -1.5 m/s2 in 10.8 s. What is his final velocity?
15.8m/s is the final velocity
Deceleration is calculated by dividing the final velocity minus the initial velocity by the time it takes for this velocity to drop. Here the acceleration formula can be used with a negative sign to determine the deceleration value.
The rate of change of the velocity of an object in the time is known as Acceleration . Velocity is defined as the speed of an object in motion by time.
here we know that the initial velocity is 32m/s.
the deceleration is -1.5m/s2 and the time taken is 10.8s
so from the formula
V=U + at
= 32+-1.5 x10.8
=15.8m/s
So the final velocity is 15.8m/s
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A Navy rescue plane drops a package of emergency rations to victims of a hurricane. If the plane is traveling horizontally at 62.0 m/s and is 100 m above the ground. How long was the package in the air?
Answer:
4.5s
Explanation:
Same amount of time it takes for the package to land if it was dropped from an helicopter hovering on the spot. As long as the plane wasn't diving towards the victims - but at that point it wouldn't be traveling horizontally, the supplies have no starting vertical velocity, so they take
[tex]100 m = \frac12 (9.81 ms^-^2)t^2 \rightarrow t^2 \approx 20.39 s^2 \rightarrow t \approx 4.5s[/tex] to hit the ground, air resistance notwithstanding. The plane speed will just tell you that the package will land a bit short of 300 meters in the direction the plane was traveling.