A ball is dropped from a height of 10 feet. Each time it strikes the ground, it bounces up to 80% of the previous height.
a.What height will the ball bounce to after it strikes the ground for the third time?
b.How high will it bounce after it strikes the ground for the nth time?
c.How many times does the ball need to strike the ground before its bounce is less than one inch?
d.What total distance does the ball travel before it stops bouncing (This may be more difficult than it appears, so be careful)?