Please help me with this question

Velocity is the rate of change of displacement with time while acceleration refers to the rate of change of velocity with time.

Deceleration means the amount a speed or velocity decreases.

Velocity = displacement / time

Velocity is measured in m/s ( meters per second)

Acceleration = velocity / time and is measured in m/s2 ( meters per second square )

This also means that velocity differ from acceleration in that they have different unit as velocity is measured in m/s and acceleration is measured in m/s2

Velocity can simply be defined defined as the rate of change of velocity with time. It is a derived quantity. That is, a quantity which is obtained from the combination of one or more fundamental quantities. The units of derived quantities are called derived units.

So therefore, velocity is the rate of change of displacement with time while acceleration refers to the rate of change of velocity with time. Deceleration means the amount a speed or velocity decreases.

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The angle of rotation (in degrees) between two hands of a clock if the radius of the clock is 0.70 and the arc length separating the two hands is 1.0 m is  81.8°.

The angle of rotation (in degrees) between two hands of a clock if the radius of the clock is 0.70 m and the arc length separating the two hands is 1.0 m is determined as follows:

Total angle in a clock = 360°

radius of the clock, r = 0.70

Circumference of the circle = 2πr

Length of the arc = 1.0 m

Angle that makes the arc length = θ

Length of arc, l = θ/360 * 2πr

Angle that makes the arc length, θ = l * 360/2πr

Angle that makes the arc length, θ = 1.0 * 360 * 7/ (2 * 22 * 0.7)

Angle that makes the arc length, θ = 81.8°

In conclusion, the angle of rotation (in degrees) between two hands of a clock if the radius of the clock is found from the length of the arc and the  radius of the clock.

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The speed of the second marble must be 14.8 m/s so that the two marbles reach the ground at the same time.

The time taken by the first stone to reach the ground is calculated using the formula below:

h = ut + ¹/₂gt²

where:

From 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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Answer:

interpolation

Explanation:

I got it right on the test.

Given :

How to calculate average speed?

Average speed is calculated by Distance travelled / time taken.

Here, we know distance is 140 m and time is 5 seconds. Substituting the values,

=) Distance / Time

=) 140 m / 5 s

=) 28 m/s.

Therefore, the average speed (in m/s) of a cheetah that runs 140 meters in 5 seconds is 28m/s.

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Answer:

In a rhetorical essay you only analyze and cite 1 source in a persuasive essay you cite and analyze many different sources

Explanation:

Only when the average speed of the heavy particles is lower than that of the light particles will the average kinetic energy of the light particles equal the average kinetic energy of the heavy particles.

Only when the average speed of the heavy particles is lower than that of the light particles will the average kinetic energy of the light particles equal the average kinetic energy of the heavy particles.

As the temperature rises, the particles accumulate kinetic energy and quicken. The actual average speed of the particles is influenced by both their mass and temperature; at a given temperature, larger particles travel more slowly than lighter ones.

Given that the formula for calculating a particle's kinetic energy is

Ek = 1/2 mu²,

The formula for particle speed is [tex]$$c = [3RT/M]^{1/2[/tex].

The graphs of kinetic energy and particle speed show that the heavier particles only have higher peaks, whilst the lighter particles only have lower peaks.

It is clear from the graphs and the temperatures employed that the graphs' shapes were nearly identical. It does not appear to be significantly impacted by temperature.

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When 68.5 g of sucrose is dissolved in 500.0 g of water, the freezing point of the water decreases by -0.744°C.

The correct option is C.

The temperature at which a liquid freezes is known as the freezing point. The freezing point normally rises with increased pressure, much like the melting point does. Combinations and some organic materials, such lipids, have freezing points that are lower than melting points.

The following formula is used to determine the freezing point depression:

ΔT = i m

where ,

ΔT is the change in freezing point,

i is the van't Hoff factor,

is the freezing point depression constant, and

m is the molality of the solution.

It is given in the question that the

of water = -1.86°C/mol

molar mass sucrose = 342.30 g/mol

i value of sugar = 1

500.0 g of water and 68.5 g of sucrose are dissolved in it.

ΔT  = 1 * -1.86° *m

molality = (68.5/342.3)/(500/1000)= 0.200116857/.5

m = 0.400

ΔT  = 1 * -1.86° * 0.400

ΔT  = - 0.744°C

The change in the freezing point of water when 68.5g of sucrose is dissolved in 500.0 g of water is - 0.744°C .

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Answer:

b

Explanation:

a) Force exerted by blue team  = 1200N

b) Force exerted by red team=1250N

c) Resultant =50N in the direction of red team

d) Red team will win as they are pulling with greater force

There are 6 people on blue team and 5 people on red team

so here it is given that in blue team a person exerts a force of 250N and number of people is 6 , then total force will be 200x6=1200N

so here it is given that in red team a person exerts a force of 200N and number of people is 5 , then total force will be 250x5=1250N

the unbalance force here is 1250-1200=50N

from the above we know that red team have an extra force of 50N so they will win the match as they are pulling with greater force.

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The heat lost in this case is obtained as 2537.1 kJ.

We know that heat is the form of energy that exists due to temperature difference between two bodies. In this case, the village blacksmith dunks a red-hot horseshoe into a large bucket of 22°C water. This led to the evaporation of  0.981 kg of water.

Now there are two distinct processes here;

The total heat lost = mcdT + mL

= 0.981 kg  * 4187 J/kg°C * ( 100 - 22) +  0.981 kg  *  2,260,000 J/kg

H = 320 kJ + 2217

H = 2537.1 kJ

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Answer:

The Newton's Laws Review includes 60 questions of varying type. Questions pertain to Newton's three laws of motion with an emphasis on the following concepts: inertia, mass, force, the Newton, weight, gravity, free-body diagrams, normal force, tension, spring force, friction, coefficient of friction, force of gravity, net force, acceleration, free fall, acceleration of gravity, air resistance, and terminal velocity. All mathematical analyses are restricted to physical situations in which the object moves in one-dimension - usually either horizontally or vertically (but never both at the same time).

The dimension of the amplitude, A is L.

The amplitude of a wave is the maximum displacement of the wave.

The amplitude of a wave is measured in the units of meters.

The given displacement of the light wave;

x = A sin(2πft)

where;

Since amplitude of a wave measures the wave's displacement, then amplitude will have the same dimension as displacement.

A = meters = L

Thus, the dimension of the amplitude, A is L.

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The car reaching to the given speed at the time, t = 0.264 s

To know the time of the car reaching to the given time use formula,

s = d / t

where,

s is speed

d is distance

t is time

Given,

distance, d = 125m

speed, s = 33m/s

time, t = ?

Putting values,

33m/s = 125 m / t

t = 33 m/s / 125m

t = 0.264 s

Speed is calculated as follows: speed = distance x time. Knowing units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example because the distance is measured in metres (m) and the time is measured in seconds (s).

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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

a. The the smallest radius of curvature for the track that the train can tolerate is 4.44 km

b. The speed must the train mantain to keep the acceleration at the limit is 25 m/s

Using the equation for centripetal acceleration, we find the radius of the circle the train can tolerate.

So, centripetal acceleration a = v²/r where

Making r subject of the formula, we have

r = v²/a

Given that the train has a speed of 181 km/hr and its acceleration must not exceed 0.058g, we have that

So, substituting the values of the variables into the equation for r,we have

r ≥ v²/a

r ≥ (50.28 m/s)²/0.569 m/s²

r ≥ 2528.0784 m²/s²/0.569 m/s²

r ≥ 4443.02 m

r ≥ 4.44 km

So, the the smallest radius of curvature for the track that the train can tolerate is 4.44 km

Using the equation for centripetal acceleration, we find the radius of the circle the train can tolerate.

So, centripetal acceleration a = v²/r where

Making v subject of the formula, we have

v = √ar

Given that there is a curve of radius 1.100 km and its acceleration must not exceed 0.058g, we have that

So, substituting the values of the variables into the equation for r,we have

v = √ar

v = √(0.569 m/s² × 1100 m)

v = √(625.9 m²/s²)

v = 25.02 m/s

v ≅ 25 m/s

So, the speed must the train mantain to keep the acceleration at the limit is 25 m/s

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The final velocity of the Maserati after accelerating at the rate of 85 m/s² for 5 seconds is 431m/s.

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;

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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The autographed baseball rolled off at 0.3762m/s before it fell off.

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 happiness that is full of significance and delight as well as a sense of vitality and freedom results from this kind of all-consuming desire. This is your chance to live a more fulfilled life where finding joy in what you do instead of pursuing the one thing you love is the goal.

Passion fuels our motivation. It aids us in constructing our dreams and goals. It's how we decide what our life's job is, and why we put in the effort to get there. Our lives are useless and unfulfilling without passion—for our friends and family, for creating beauty, for giving back, or for fulfilling a higher purpose.

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The braking distance of the car, given the data from the question is 145.784 m

From the question given above, the following data were obtained:

The breaking distance of the car can be obtained as illustrated below:

s = ut + ½at²

s = (60 × 2.44) + (½ × -0.207 × 2.44²)

s = 146.4 + (-0.616)

s = 146.4 - 0.616

s = 145.784 m

From the calculation made above, we can conclude that the breaking distance of the car is 145.784 m

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v=u+at

where

v is the final velocity

u is the initial velocity

a is the acceleration

t is the time

From the question

u = 10 m/s

a = 6 m/s²

t = 20 s

Substitute the values into the above formula and solve

That's

v = 10 + 6(20)

= 10 + 120

We have the final answer as

130 m/s

The Force of Gravitational Attraction is 34.85 ×10²¹N

Gravitational Force is the force acting between two masses separated by a distance. It is dependent on the magnitude of the masses and the distance between the two masses.

The mathematical relation is as follows:

F = Gm₁m₂/r²

where G is Gravitational Constant

m₁ is mass of first body

m₂ is mass of second body

r is the distance between the two masses

Given,

m₁ = 1.989×10³⁰

m₂ = 5.974×10²⁴

r = 1.5×10¹¹

G = 6.6×10⁻¹¹Nm²/kg²

On Substituting the above values,

F = 6.6×10⁻¹¹ × 5.974×10²⁴×1.989×10³⁰/(1.5×10¹¹)²

F = 34.85 ×10²¹N

Hence, the Force of Gravitational Attraction is 34.85 ×10²¹ N

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Answer:

Brain imaging aka Neuroimaging explores a series of mechanisms such as cognition, information processing, and brain changes in the functioning state. In addition, MRI, Magnetic resonance imaging, is a medical imaging test that produces detailed images of the brain.

Explanation:

The coefficient of volume expansion is given as  1.5012 x10^-4

What is volume?

A volume can simply be defined as the amount of space occupied by any three-dimensional solid. The solids can take the shape or form of a cube, a cuboid, a cone, a cylinder or a sphere

Volume of water that is lost

= (0.35) * (0.98324) mL

= 0.3441 mL

The original volume of

55.50 mL will increase to

55.8441 mL

V(t) = Vo [1 + γ(60.0 - 18.7)]

=> coefficient of volume expansion,

γ = (Vt - Vo) / [Vo * 41.3]

= (0.3441) / [(55.50) (41.3)

= 1.5012 x10^-4

The coefficient of the volume expansion can be the measure of the fractional change of size per unit change in the temperature with the surrounding pressure being constant.

In conclusion, the coefficient of volume  is most applicable to the fluids.

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A drone starts from rest and travels 50m with an acceleration of 5 m/s2. it takes 4.5s.

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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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)