Question

A ball jumps 0.3 of the height from which it is dropped. If it is allowed to fall from a height of 180 metres, find the height to which it will rise after the third jump

Answer 1

Answer:

Hence, the ball will rise to a height of 4.86 metres after the third jump.

Step-by-step explanation:

Let the height from which the ball is dropped be h metres.

After the first jump, the ball reaches a height of 0.3h metres.

After the second jump, the ball reaches a height of 0.3(0.3h) = 0.09h metres.

After the third jump, the ball will reach a height of 0.3(0.09h) = 0.027h metres.

Given that the ball is dropped from a height of 180 metres, we have h = 180 metres.

Therefore, the height to which the ball will rise after the third jump is:

0.027h = 0.027(180) = 4.86 metres

Hence, the ball will rise to a height of 4.86 metres after the third jump.

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