Question

A ball at rest rolls across a frictionless floor at 12.0 m/s/s. How far will it travel in

8.00 s?

Answer 1

The distance, d travelled by the ball is 768 metres.

Step-by-step explanation:

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of final speed from the initial speed all over time.

Hence, if we subtract the final speed from the initial speed and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

`Acceleration (a) = (initial \; speed - final \; speed)/(time)`

`a = (v - u)/(t)`

Where,

a is acceleration measured in
`ms^(-2)`

v and u is initial and final speed respectively, measured in
`ms^(-1)`

t is time measured in seconds.

Given the following data;

Acceleration = 12.0m/s²

Time, t = 8secs

Velocity =?

First, we would calculate its velocity;

`a = (v - u)/(t)`

Since the ball rolls at rest, initial velocity is zero (0).

`V = a * t`

`V = 12 * 8`

`Velocity = 96ms^(-1)`

We can now solve for the distance;

`Velocity = (distance)/(time)`

Therefore,

`Distance = velocity * time`

`Distance = 96 * 8`

Distance = 768m.