A ball is such that it is dropped from a height of 1m it bounces vertically from the
ground to a height of 0.96m. it continues to bounce on the ground and each time the
height the ball reaches is reduced. Two models, A and B, describe this.
Model A: the height reached is reduced by 0.04m each time the ball bounces
Model B: the height reached is reduced by 4% each time the ball bounces.
(a) Find the total distance travelled vertically (up and down) by the ball from the
first time it hits the ground until it hits the ground for the 21st time,
(i) using model A