The final velocity of the Maserati after accelerating at the rate of 85 m/s² for 5 seconds is 431m/s.
How to calculate the final velocity a moving object?From the first equation of equation of motion, final velocity is the sum of the initial velocity and the product of acceleration and time.
It is expressed as;
v = u + at
Where v is final velocity, u is initial velocity, a is acceleration and t is time elapsed.
Given the data in the question;
Initial velocity u = 6m/sAcceleration a = 85m/s²Elapsed time t = 5sFinal velocity v = ?Plug the given values into the first equation of motion and solve for v.
v = u + at
v = 6m/s + ( 85m/s² × 5s )
v = 6m/s + 425ms/s²
v = 6m/s + 425m/s
v = 431m/s
The final velocity of the Maserati after accelerating at the rate of 85 m/s² for 5 seconds is 431m/s.
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A record of travel along a straight path is as follows:
1. Start from rest with constant acceleration of 2.25 m/s2 for 19.0 s.
2. Maintain a constant velocity for the next 2.50 min.
3. Apply a constant negative acceleration of −9.09 m/s2 for 4.70 s.
(a) What was the total displacement for the trip? m
(b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip?
leg 1 m/s
leg 2 m/s
leg 3 m/s
complete trip m/s
The total displacement is 4317.34 meters and the average speeds of the legs are 27.36m, 54.72m, 27.35m.
What is average speed?The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
a = 2.25 m/s2 ; t1 = 19 s ; t = 2.50 min = 150 sec ; a' = -9.09 m/s2 t3 = 4.70 s
(a)The velocity at the end of the first interval will be given by
V = u + at = 0 + a t1 = 2.25 x 19 = 42.75 m/s
This velocity will remain the same throughout the second period in accordance with point (2) and serve as the initial velocity for the third interval.
We now see that, if s is the displacement, s = u t + 1/2 a t2
In our situation, the sum of the displacements in the specified three intervals will represent the total displacement.
[tex]\Delta s(total) = \Deltas1 + \Deltas2 + \Deltas3[/tex]
[tex]\Delta s(total) = [0 + 1/2 x 2.88 x (19)2) + [54.72 x 66 + 0] + ( 54.72 x 6.8 + 1/2 x (-8.05) x (6.8)2][/tex]
[tex]\Delta s(total) = 519.84 + 3611.52 + 185.98 = 4317.34 meters[/tex]
Hence,
[tex]\Delta s(total) = 4317.34 meters = 4.32 Km.[/tex]
(b)Speed for leg 1 will be
v1 = [tex]\Delta s1 / t1 = 519.84 / 19 = 27.36 m/s[/tex]
Speed for leg 2 will be
[tex]v2 = \Delta s2 / t2 = 3611.52 / 66 = 54.72 m/s[/tex]
Speed for leg 3 will be
[tex]v2 = \Delta s3 / t3 = 3611.52 / 66 = 185.98 / 6.8 = 27.35 m/s[/tex]
The average velocity of the complete trip will be given as follows:
V = [tex]\Delta s(total) / t(total)[/tex]
t(total) = t1 + t2 + t3 = 19 + 66 + 6.8 = 91.8 s
[tex]V = \Delta s(total) / t(total) = 4317.34 meters / 91.8 = 47.03 m/s[/tex]
Hence, V = 47.03 m/s
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A speedboat with a mass of 531 kg (including the driver) is tethered to a fixed buoy by a strong 30.3 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 12900 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m)×2, where denotes the boat's speed. Ignore any drag force on the cable.
As the tension in the rope is constant therefore the boat engine will also be pushing the boat with the same force as that of the drag force that is given to be 450 Newton.
What is a drag force?Drag force is similar to friction force but is experienced by a moving body in a fluid. Direction of drag force is a positive to the direction of motion.
What is centripetal force?Centripetal force is not a new force in nature but a manifestation of some force that causes rotation of a body.
Given:
Mass of the boat = 531 kg
Tension in the cable = 12900 Newton
Drag force experienced by the boat = 450 N
The boat along with the man is rotating using a cable which experiences a constant tension of 12900 Newton.
The boat's engine should also be generating a force perpendicular to the circular path travelled by the boat.
Now the tension in the string is constant this implies that all the force that the both engine is generating is being used in balancing the drag force exerted by water on the boat.
Therefore, the force produced by the engine will be equal to 450 Newton which will be used to balance the drag force.
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What is the first step to composing a short piece?
A. Choosing an image as stimuli
B. Choosing your lyrics
C. Choosing a rhythm and a melody
You drive in a straight line at 18.0 m/s for 10.0 mi, then at 30.0 m/s for another 10.0 mi.
You drive in a straight line at 18.0 m/s speed for 10.0 miles, then at 30.0 m/s for another 10.0 miles, then the average speed is calculated as less than 24 m/s. So, the correct option is C.
What is the speed on average?The overall calculated distance that the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
What is a typical speed and an illustration?The entire distance travelled is divided by the time interval to determine average speed.
For instance, someone travelling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, is travelling 20 miles north and then 20 miles south (60 mph). Calculating average speed involves dividing the total distance travelled by total time taken.
Here [tex]X_{1}[/tex] = [tex]X_{2}[/tex]
= 10 miles
= 16093.4 m
[tex]t_{1}[/tex] = [tex]X_{1}[/tex]/[tex]V_{1}[/tex]
= 16093.4/18
[tex]t_{1}[/tex]= 894.08s
and then [tex]t_{2}[/tex] = 16093.4/30
[tex]t_{2}[/tex] = 536.45s
Average speed [tex]V_{avg}[/tex] = [tex]\frac{X_{1} + X_{2}}{t_{1} + t_{2} }[/tex]
= [tex]\frac{(16093.4 + 16093.4)}{(894.08 + 536.45)}[/tex]
[tex]V_{avg}[/tex] = 22.50 m/s
Thus, the correct option is that average speed is less than 24 m/s.
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Complete Question
You drive in a straight line at 18.0 m/s for 10.0 miles, then at 30.0 m/s for another 10.0 miles.
Is your average speed
a) 24.0 m/s
b) more than 24.0 m/s
c) less than 24.0 m/s
0.030 km
2. The Olympic record for the marathon is 2hr, 1min, 39s. Determine the average velocity in m/s and
miles per hour of the record.
0.0041m/s and 0.00917 mile/hr. is the average velocity.
If an object moves with an average speed of v for time t, then the distance traveled by this object is s= v.t
Average speed and time are given in the task. So you can use this formula to calculate the marathon distance.
Velocity or speed is defined as: The rate of change of the object's position in any direction. Velocity is measured as the ratio of distance traveled and time traveled. Velocity is a scalar quantity because it has only direction and not magnitude.
time =2hr, 1min, 39s s= 0.030km
t= 7299s s=30m
v=s/t=30/7299
=0.0041m/s.
in mile per hour = 0.00917 mile/hr
So feom the above equations solved the answer is 0.0041m/s and 0.00917 mile/hr.
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John is traveling north at 20 meters/second and his friend Betty is traveling south at 20 meters/second. If north is the positive direction, what are John and Betty's speeds?
A.
-20 meters/second, 20 meters/second
B.
20 meters/second, -20 meters/second
C.
-20 meters/second, -20 meters/second
D.
0 meters/second, 40 meters/second
Answer:
B. 20 meters/ second, -20 meters/ second
how does mass and velocity determine the amount of damage that occurs in a collision?
Answer:
Mass and velocity are both directly proportional to the momentum. If you increase either mass or velocity, the momentum of the object increases proportionally. If you double the mass or velocity you double the momentum.
Explanation:
define physical fitness in your own definition
"One's capacity to carry out daily activities with maximum efficiency, strength, and endurance while managing the illness, exhaustion, and stress and engaging in less sedentary behavior."
The health of the heart, lungs, and muscles is a component of physical fitness. Fitness also somewhat affects traits like mental acuity and emotional stability because what we do with our body also affects what we can do with our minds.
Hence Being physically fit doesn't need include dominating a particular sport or having bulging muscles.
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The following graph illustrates how jamil moves as he goes to the paper shop
The graph is the visual representation of information. It shows the information in graphical form.
What is a graph?The graph shows a visual representation of information.
(a) It will take 360 seconds to travel to the shop.
(b) Jamil covers 400 + 90 + 120 km= 610 km distance.
(c) Speed= distance/ time = 610 km/ 360 = 1.69 m/ second.
(d) He spends 360 seconds at the shop.
(e) Speed = d1/t1 + d2/ t2 + d3/ t3= 450/ 150 + 450 / 90 + 450 / 120
= 3 + 5+ 3.75 = 11.75 m / second.
The graph is the visual representation of information. It shows the information in graphical form.
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What is the scientific name of the cup-shaped pouches of lung tissue that are one-cell thick, and they are the site of gas exchange?
A. Bronchioles
B. Trachea
C. Alveoli
D. Glottis
E. Pharynx
OF. Larynx
G. Nose
Answer:
your answer is C
Explanation:
Alveoli is your answer
Which of the following was NOT a part of the arrival process for Jews at the concentration camps?
A. Defense training
B. Losing all possessions
C. Hair shaving
D. Strength test for work
You push a box down the hallway. The box, with a mass of 30kg, accelerates at a speed of 3m/s2. If the force of friction on the box is 20N, how much did YOU exert in order to move it?
The force you exerted in order to move the box, given the data from the question is 110 N
How to determine the net forceWe'll beging by obtaining the net force on the box. This is illustrated below:
Mass (m) = 30 KgAcceleration (a) = 3 m/s²Net force (Fn) =?Net force = mass × acceleration
Net force = 30 × 3
Net force = 90 N
How to determine the force exertedFinally, shall obtain the force exerted to the box. This can be obtained as follow:
Net force = 90 NFrictional force = 20 NForce exerted =?Net force = force exerted - frictional force
90 = force exerted - 20
Collect like terms
Force exerted = 90 + 20
Force exerted = 110 N
This, the force exerted on the box is 110 N
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Dean is slowing down on his skateboards. He starts at a speed of 5.5 m/s and
slows to 1.0 m/s over a time of 3.0 seconds. What is Dean's acceleration?
Dean's acceleration while slowing down on his skateboards a = -1.5 m/s².
Equation :To find the acceleration of skateboards
Using formula,
a = Δv/Δt
where,
a is acceleration
Δv is change in speed
Δt is time
By putting the given values,
a = 1.0 m/s - 5.5 m/s / 3 s
a = - 4.5 m/s / 3s
a = -1.5 m/s²
Is acceleration can be positive or negative?When an object is moving in a positive direction, the acceleration is negative, but the rate of change of velocity is positive (velocity is decreasing). When an object moves in the reverse or opposite direction, we can define these two accelerations as well (right to left).
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Which variable represents displacement?
Question 5 options:
t
a
v
d
The variable that represents displacement is "d" (option D).
What is displacement?Displacement in physics is a vector quantity which denotes distance with a directional component.
Displacement, unlike distance is a vector quantity i.e. it has magnitude and direction.
Displacement is the measure of “how far out of place is an object. The distance of a body can be denoted by "d".
The displacement of a body can be calculated as follows:
∆d = x¹ - x²
Where;
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Describe the mechanism that orchids use to control their pollen distribution.
The pollination methods used by orchid plants to control their pollen distribution include:
Use of nectar rewards use of deceptionUse of trapsWhat is pollination?Pollination is the process by which pollen grains are transferred from the anther to the stigma of the flowers of the same plant or another plant.
When pollination occurs in the same flower of the same plant, it is know as self-pollination.
When pollination occurs in the different flowers of the same or different plants, it is know as cross-pollination.
Considering the orchid plants, the methods which they employ to control their pollen distribution is as follows:
Use of nectar rewards -some orchids attract their pollinators with reward of nectaruse of deception: some orchid species attract their pollinators by means looking like their mating partners making them to think they are mating partnersUse of traps - some orchids use traps to get their pollinators to pollinate them.Learn more about pollination at: https://brainly.com/question/23540386
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A car travels on a straight level road. Starting from rest the car is going 32 fr/s (22mi/h) at the end of 4.2s what is the cars average acceleration in ft/s^2
The acceleration of a car that travels on a straight level road starting from rest and going at 32 ft/s at the end of 4.2s is 7.62ft/s².
How to calculate acceleration?The acceleration of a moving car can be calculated by dividing the speed by the time taken as follows:
Acceleration = Speed ÷ time
According to this question, a car travels on a straight level road starting from rest the car is going 32 ft/s (22mi/h) at the end of 4.2s. The acceleration can be calculated as follows:
Acceleration = 32ft/s ÷ 4.2s
Acceleration = 7.62ft/s²
Therefore, the acceleration of a car that travels on a straight level road starting from rest and going at 32 ft/s at the end of 4.2s is 7.62ft/s².
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9. The coefficient of static
friction between a 5kg block
and horizontal surface is 0.4.
What is the maximum
horizontal force that can be
applied to the block before it
slips?
Answer:
19.6 Newtons
Explanation:
[tex]\displaystyle \textsf{The weight of the block is W= mg where m is the mass and g the acceleration due to gravity}[/tex]
[tex]\sf W = 5kg, \; and\; g = 9.80 m/s^2[/tex]
[tex]\sf W = 5 x 9.8 = 49\; Newtons[/tex]
[tex]\textsf {If the coefficient of static friction is } $\mu_s$, the force to be applied for the block to slip is given by the equation}:\\\mathsf {f_s = \mu_s \times W}\\\\\textsf {So force required, given $\mu_s$ = 0.4 is: }\\\\\\\mathsf {f_s = 0.4 \times 49 = 19.6 } \textsf{ Newtons }[/tex]
A 1.5 kg mass swings at the end of a 2.3 m string. A scale on the string
measures the tension in the string to be 24.5 N. What is the centripetal
force on the swinging mass? __________ Blank 1
And, what is the speed of the mass at the time the tension is measured?
The speed of the mass at the time the tension is measured is 6.12m/s
centripetal force - It is a force which makes a body follow a curved path.
It is directed inward towards center of rotation.
for example - gravitational force of sun is a centripetal force that keeps earth rotating around it.
the centripetal force on the swinging mass
Fc = mv²/r
where Fc is the centripetal force
m is the mass of body
v is the velocity
r is the radius
m = 1.5
r = 2.3 m
F = 24.5 N
To calculate the speed we put values in above equation
Fc = mv²/r
v = sqrt(Fc x r / m)
v = [tex]\sqrt[]{\frac{F *m}{r} }[/tex]
[tex]v = \sqrt[]{\frac{24.5*1.5}{2.3} }[/tex]
v = 6.12m/s
The speed of the mass at the time the tension is measured is 6.12m/s
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The Distance-time graph shown is for a 3000 m cross-counrty race, run by rachel and james.
From the given graph, it is shown that James is running the race with the same speed while Rachel changes his speed time-to-time. It can be inferred from the graph that James wins the race.
What is Speed?Speed is the distance travelled by an object in a particular time. In the race, James run with a constant speed throughout the race and Rachel changes its speed after some time.
By looking at the graph, we can say that James catch up Rachel 17.5 minutes after the start of the race where they both completed 1750m distance.
Speed of James can be calculated by the formula:
Speed = Distance/Time
Speed = 3000m/30min
Speed of James = 100m/min.
Different speeds of Rachel can be calculated by the same formula:
For the first 1000m he completes the distance in 5 min. therefore, the speed will be:
Speed = 1000m/5min.
Speed = 200m/min.
For the next 1500m. he covers the distance in 25min. therefore, the speed here will be:
Speed = 1500m/25min.
Speed = 60m/min.
For the next 500m. he covers the distance in 5 min. therefore, the speed will be:
Speed = 500m/5min.
Speed= 100m/min.
As, James covers the same distance earlier than Rachel. James cover the the distance in 30 minutes while Rachel covers the same distance in 35 minutes. James will be the winner of the race.
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Velocity/Acceleration
a car driving down the highway goes from the 12 mile marker and sometimes later passes the 158 mile mark. how many miles has the car driven
The distance travelled by the car is 146 miles.
What is distance?Distance is a measure the space between two points.
Distance is measured in units of length such as kilometer, meters, miles, feet, etc.
In order to measure the distance between two points, a measuring instrument such as a ruler is used.
Considering the car that was travelling along the road, the distance traveled by the car is calculated as follows;
The car starts moving from an initial highway marker of 12 miles.
The car then travels from the initial highway marker of 12 miles to a second highway marker of 158 miles.
The distance travelled by the car is obtained by finding the differences between the highway markers.
Difference between the highway markers = 158 miles - 12 miles
Difference between the highway markers = 146 miles.
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By January, the 1.2 kg of water in the birdbath in Robyn’s backyard has frozen to a temperature of -7.6°C. As the season changes, how much heat must be added to the water to make it a comfortable 26.9°C for the birds? Q=mcΔT and Q=mhf
(Heat of fusion for water is 335,000 J/kg) Round to the tenth place.
The heat that is added is 2277 kJ.
What is the heat to be added?We know that heat is a form of energy that appears as a result of temperature difference that exist between two bodies. In this case now, we are told that by January, the 1.2 kg of water in the birdbath in Robyn’s backyard has frozen to a temperature of -7.6°C.
Now there are three transitions that took place here;
The ice was heated to raise its temperature from -7.6°C to zero degreesThe ice melted at zero degreesThe heat required to raise the temperature from zero degrees to 26.9°CThus;
H = mcicedT + mhf + mcwaterdT
H = (1.2 * 2060 * 7.6) + (1.2 * 335,000) + (1.2 * 4182 * 26)
H = 1745kJ + 402 kJ + 130 kJ
H = 2277 kJ
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A piolet is required to fly directly from London,United Kingdom, to Rome,Italy,in 3.4 h. The displacements is 1.4×10³km[S 43⁰ E] . The wind velocity reported from the ground is 55km/h[S]. Determine the required velocity of the plane relative to the air.
The required velocity of the plane relative to air with a velocity of 55 km / h S is 373.42 km / h
v = d / t
d = 1400 km ( 43° E of S )
t = 3.4 hrs
[tex]V_{pg}[/tex] = d / t
[tex]V_{pg}[/tex] = 1400 / 3.4
[tex]V_{pg}[/tex] = 411.75 km / h ( SE )
[tex]V_{ag}[/tex] = 55 km / h ( S )
[tex]V_{pgx}[/tex] = sin 43° ( 411.75 )
[tex]V_{pgx}[/tex] = 280.81 km / h ( E )
[tex]V_{pgy}[/tex] = cos 43° ( 411.75 )
[tex]V_{pgy}[/tex] = 301.14 km / h ( S )
[tex]V_{x}[/tex] = [tex]V_{pgx}[/tex] - [tex]V_{agx}[/tex]
[tex]V_{x}[/tex] = 280.81 - 0
[tex]V_{x}[/tex] = 280.81 km/ h
[tex]V_{y}[/tex] = [tex]V_{pgy}[/tex] - [tex]V_{agy}[/tex]
[tex]V_{y}[/tex] = 301.14 - 55
[tex]V_{y}[/tex] = 246.14 km / h
V² = [tex]V_{x}[/tex]² + [tex]V_{y}[/tex]²
V = √ [ ( 280.81 )² + ( 246.14 )² ]
V = 373.42 km / h
tan θ = [tex]V_{y}[/tex] / [tex]V_{x}[/tex]
θ = [tex]tan^{-1}[/tex] ( 246.14 / 280.81 )
θ = [tex]tan^{-1}[/tex] ( 0.88 )
θ = 41.35° ( S of E )
Therefore, the required velocity of the plane relative to air is 373.42 km / h at 41.35 S of E
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Which of the following best describes the difference between experiments and correlational research methods? Which of the following best describes the difference between experiments and correlational research methods? Experiments use one type of statistical test; correlational methods use a different type of statistical test Experiments allow researchers to make claims about one thing causing the other; correlational methods don't Experiments are always the best form of research to do; correlational methods are inherently worse
(A) Experiments use one type of statistical test; correlational methods use a different type of statistical test
Correlational research:
A non-experimental research method known as correlational analysis measures two variables and evaluates the statistical relationship (also known as the correlation) between them with little to no effort to control unrelated variables. There are a variety of factors to consider when deciding whether to perform an experiment or a correlational study by researchers interested in statistical correlations between variables. First off, they either don't think the statistical relationship is causative or aren't interested in causality. Remember that the two main objectives of science are to describe and predict; the correlational research approach enables researchers to accomplish both of these objectives.Experimental research:
Experimental research is a term used to describe a study that closely resembles a scientific research methodology. A hypothesis, a controlled variable, and variables that can be measured, computed, and compared make up this structure.The utilization of controlled conditions in experimental research is vital. The facts that the researcher gathers will either confirm or disprove the theory.Difference between experimental and correlational methods:
You alter an independent variable and track its impact on a dependent variable in an experimental design. Other factors cannot affect the outcomes because they are under control. You measure variables in a correlational design without changing any of them.
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In which of the following situations are you doing positive work on the box?
Throwing a box at someone.
Carrying a box in your arms across the room.
Carrying a box in your arms up the stairs.
Holding a box in your out-stretched arms, spinning around in a circle.
Catching a box that is thrown at you.
Pushing a box on the floor across the room.
Carrying a box in your arms down the stairs.
Holding a box in your arms.
F. The situation in which the work done is positive is, "Pushing a box on the floor across the room.".
What is positive work?The work done on an object is said to be positive work when force applied on the object causes a displacement of the object in the same direction.
Some of the examples of positive work include the following:
pushing a table or chair across a horizontal surfacePushing a box on the floor across the room.From the given options, the only option in which the applied force is in the same direction as the box's displacement is option F "Pushing a box on the floor across the room".
Thus, the situation in which the work done is positive is, "Pushing a box on the floor across the room.".
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6) A person on a bus traveling 5 m/s is walking to the back of the bus at 1 m/s. How fast does
the person on the bus appear to be moving to a person in a car going the opposite direction
traveling at 2 m/s?
Answer:
maximum velocity,then u draw your diagram then u calculate for max velocity then the answer u get use it for total shape
Why does gravity cause acceleration?
Answer choices
A. It acts in a downward direction
B. It has a greater effect on objects with more mass.
C. It always causes objects to slow down.
D. It is a force.
Science 6a unit 2 test study guide
Please help me out!!! This is a major grade been taking care of my baby brother while mom works barely had time to study!
Answer:
at number 8 the answer is Uranus
Need help answering this question
Answer:
[tex] log( \beta e \alpha \sin( \cot( \sec( \binom{? \times \frac{ \\ \infty }{?} }{?} ) ) ) ) [/tex]
A ballplayer standing at home plate hits a baseball that is caught by another player at the same height above the ground from which it was hit. The ball is hit with an initial velocity of 26.8 m/s at an angle of 60.0° above the horizontal. At what distance from the home plate will the fielder be when he catches the ball?
The distance from the home plate the fielder will be when he catches the ball is 63.47 m
From the question given above, the following data were obtained:
Initial velocity (u) = 26.8 m/sAngle of projection (θ) = 60.0 °Acceleration due to gravity (g) = 9.8 m/s²Distance (i.e range) (R) =?How to determine the rangeThe distance (i.e range) the fielder will be when he catches the ball can be obtained as follow:
R = u²Sine(2θ) / g
R = 26.8² × Sine (2×60) / 9.8
R = 622.014 / 9.8
R = 63.47 m
Thus, the distance the fielder will be is 63.47 m
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Which one of the following is NOT consistent with a car which is accelerating?
Question 13 options:
A car is moving with a high speed.
A car is moving with a decreasing speed.
A car is changing direction.
A car is moving with an increasing speed.
A car moving at a decreasing speed is not consistent with a car that is accelerating. Hence, option B is correct.
What is Acceleration?Acceleration is the general term for any process where the velocity changes. There are just two methods for speeding up : changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.
Its SI unit is m/s² and the dimension is LT⁻² where,
L= length and,
T= Time
Acceleration, a= Velocity/Time
Hence, the car is moving with a decreasing speed will not consistent with a car which is accelerating.
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