# A ball is dropped from a height of 90 m on a floor. At each collision with the floor, the ball loses one tenth of its speed. Plot the speed-time graph of its motion between t = 0 to 12 s.

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A ball is dropped from a height of 90 m on a floor. At each collision with the floor, the ball loses one tenth of its speed. Plot the speed-time graph of its motion between t = 0 to 12 s.

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Step 1

Let the height from which the ball is initially dropped be denoted by h1.

Use the third kinematic equation for the free – fall of the ball where the initial speed u of the ball is taken to be zero.

Step 2

Here v1 is the initial speed of the ball after initial fall of the ball from height h1

Substitute 9.8 m/s2 for g and 90 m for h and solve for v1 as,

Step 3

The time t1 taken by the ball to reach the ground from height h1 is calculate...

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SciencePhysics

### Kinematics 