Question
A ball is dropped from height of 100 feet towards the ground. It hits the ground and bounces back 80% of the fall. This continues till the ball comes to rest. Find the vertical distance covered by the ball
Answers
the height on the nth bounce is 100*0.8^n
So, the geometric sequence for the bounces is
a = 100
r = 0.8
Each bounce is a round trip, except for the 0th trip, so the distance traveled is
2*100/0.2 - 100 = 900 ft
The real-world distance of course will be slightly less than that.
So, the geometric sequence for the bounces is
a = 100
r = 0.8
Each bounce is a round trip, except for the 0th trip, so the distance traveled is
2*100/0.2 - 100 = 900 ft
The real-world distance of course will be slightly less than that.
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