Aball is rolled at an initial speed of 5 m/s and finishes a certain distance at a speed of 7 m/s. if the ball rolled for 9 seconds then how long was this distance that the ball rolled?

The ball rolled a distance of 54 m.

Explanation:

Given:

Initial velocity of the ball is,

Final velocity of the ball is,

Time for rolling is,

The distance of rolling is,

First, let us find the acceleration of the ball using Newton's equation of motion as:

Now, displacement of the ball can be determined using the following equation of motion:

Rewriting the above in terms of 'S', we get

Plug in the known values and solve for 'S'. This gives,

Therefore, the ball rolled a distance of 54 m.