Question 87

When a ball is dropped from a certain height it rebounds to 3/4 the part after hitting the ground. If ball is dropped from a height of 32 metre, to what height will it go in its third rebound ?

Solution

If a ball is dropped from a certain height it rebounds to 3/4 the part after hitting the ground.

Original height = 32 metre

After 1st rebound, height attained by the ball = $$\frac{3}{4} \times 32 = 24$$ metre

Similarly, after 2nd rebound = $$\frac{3}{4} \times 24 = 18$$ metre

$$\therefore$$ After 3rd rebound, the ball will reach = $$\frac{3}{4} \times 18$$

= $$\frac{27}{2} = 13 \frac{1}{2}$$ metre

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