Question

Formula to find out the distance with uniform acceleration

Answer 1

Answer:

Uniform acceleration occurs when the speed of an object changes at a constant rate. The acceleration is the same over time. By relating acceleration to other variables such as speed, time and distance we are able to manipulate data in many ways.

We have a small set of very powerful formulae which can be combined to obtain results despite unknown variables. These formulae have been deduced in the Visualizing Motion section.

The Formulae

a = ( Vf - Vi ) / t

This is the formula for the average acceleration, which is our actual acceleration when dealing with uniform acceleration. Average acceleration equals to the difference in speed over time. When we have two speeds we can calculate the acceleration during the time interval, t, by subtracting the initial speed from the final speed ( we get the change in speed ) and then dividing by the time to get the acceleration.

Acceleration = increase in speed / time

d = 1/2 ( Vf + Vi ) × t

This formula is a favourite of mine. It stems from analyzing the graph of speed V.S. time of an object's motion. Since speed = distance / time we can calculate the distance ( or displacement ) an object by measuring the area under the line which represents speed. The derivation of this formula is quite simple.

s=1/2 at^2 , where s= distance, a= acceleration, t =time

Thereofore, a = 2s / (t^2)

Answer 2

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Answer:

Uniform acceleration occurs when the speed of an object changes at a constant rate. The acceleration is the same over time. By relating acceleration to other variables such as speed, time and distance we are able to manipulate data in many ways.

We have a small set of very powerful formulae which can be combined to obtain results despite unknown variables. These formulae have been deduced in the Visualizing Motion section.

The Formulae

a = ( Vf - Vi ) / t

This is the formula for the average acceleration, which is our actual acceleration when dealing with uniform acceleration. Average acceleration equals to the difference in speed over time. When we have two speeds we can calculate the acceleration during the time interval, t, by subtracting the initial speed from the final speed ( we get the change in speed ) and then dividing by the time to get the acceleration.

Acceleration = increase in speed / time

d = 1/2 ( Vf + Vi ) × t

This formula is a favourite of mine. It stems from analyzing the graph of speed V.S. time of an object's motion. Since speed = distance / time we can calculate the distance ( or displacement ) an object by measuring the area under the line which represents speed. The derivation of this formula is quite simple.

s=1/2 at^2 , where s= distance, a= acceleration, t =time

Thereofore, a = 2s / (t^2)