A ball is dropped from a height of 10 feet. After bouncing, it reaches a height that is 80% of the height from which it was dropped. This bouncing trend continues till the ball comes to a rest.
Question 1:
Show that the distance the ball falls on each drop follows a geometric sequence.
-
Question 2:
If the ball comes to a rest after 40 bounces, how much distance has it traveled in total?
