A ball is dropped from a height of 2 meters onto a perfectly elastic surface where…
MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series
Problem
A ball is dropped from a height of 2 meters onto a perfectly elastic surface where each rebound reaches one-half of the preceding height. What is the least number of rebounds required for the total vertical distance traveled by the ball to be at least 90\% of the total distance it will travel over an infinite number of rebounds?
(a) 4
(b) 2
(c) 3
(d) 5