After striking the floor, a certain ball rebounds (4/5)th of height from which it has fallen. Then the total distance
that it travels before coming to rest, If it is gently dropped from a height of 120 m is

Question

After striking the floor, a certain ball rebounds (4/5)th of height from which it has fallen. Then the total distance

that it travels before coming to rest, If it is gently dropped from a height of 120 m is

Infinity Learn · Accepted Answer

Initially the ball falls from a height of $$120m$$. After striking the floor, it rebounds and goes  to a height of $$45$$×$$120m$$  Now, it falls from a height of  $$45$$×$$120m$$ and after rebounding goes to a height  of  $$4545120$$ m. This process is continued till the ball comes to rest Hence, the total distance travelled is $$120+12045+120452+$$.....$$=1201-45=600m$$

After striking the floor, a certain ball rebounds (4/5)th of height from which it has fallen. Then the total distance
that it travels before coming to rest, If it is gently dropped from a height of 120 m is

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