A ball is dropped straight down from a height of 20 feet. If it bounces back each time to a height one-half the height from which it last fell, how far will the ball have traveled when it hits the floor for the sixth time?
A ball is dropped straight down from a height of 20 feet. If it bounces back each time to a height one-half the height from which it last fell, how far will the ball have traveled when it hits the floor for the sixth time?
Distance up 10 up 5 up 2.5 up 1.25 up 0.625
down 20 down 10 down 5 down 2.5 down 1.25 down 0.625
Hit the floor 1st 2nd 3rd 4th 5th 6th
Add up the
distances 20 + 20 + 10 + 5 + 2.5 + 1.25 = 58.75 unless I messed up somewhere.
.
