Question

After striking a floor a rubber ball rebounds (7/ 8) th of the height from which it has fallen. Find the total distance that it travels before coming to rest, if it is gently dropped from a height of 420 meters.

Answer 1

Answer:

6300 meters

Explanation:

The question uses the concept of an infinitely diminishing Geometric Progression. It's difficult to explain the entire concept in such a short space so rather i'll leave you with a formula.

The total distance covered by the ball = drop x I (m+n)/(m-n) I

Here, drop = 420 meters and values of n & m are 7 & 8 respectively.

Using the formula, total distance = 420 x I(8+7)/(8-7)I  = 420 x 15 = 6300 meters