After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres. Choose the correct choice.
A) 540 m B) 960 m C) 1080 m D) 1020 m E) 1120 m
Solution: The first drop is 120 metres. After this the ball will rise by 96 metres and fall by 96 metres. This process will continue in the form of infinite GP with common ratio 0.8 and first term 96. The required answer is given by the formula:   a/(1-r)   Now,   [{120/(1/5)}+{96/(1/5)}]   = 1080 m.   Answer 1080 m  120/(1/5) + 96/(1/5)= 
<gadget id="calculator">  120/(1/5) + 96/(1/5)</gadget>
<output>1_080</output>
1080 m.   Answer 1080 m
<result>C</result>
After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.