An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half ...
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 20-meter platform and caught it after it had traveled 55 meters. How many times did the ball bounce?
Answer/Solution
3
Steps/Work
Going down = 20 m
Going Up = 10 --> Total = 30
Going down = 10 --> Total = 40
Going Up = 5 --> Total = 45
Going down = 5 --> Total = 50
Going up = 2.5 --> Total = 52.5
Going down = 2.5 --> Total =55(Caught)
No of bouncing = 3
Answer : C
Going Up = 10 --> Total = 30
Going down = 10 --> Total = 40
Going Up = 5 --> Total = 45
Going down = 5 --> Total = 50
Going up = 2.5 --> Total = 52.5
Going down = 2.5 --> Total =55(Caught)
No of bouncing = 3
Answer : C