A ball is dropped from a height of 12 feet and returns to a height one-half of the height from which it fell. How far will the ball have traveled when it hits the ground for the fifth time?

A. 34.5 feet
B. 24 feet
C. 12 feet
D. 1.5 feet

Question

A ball is dropped from a height of 12 feet and returns to a height one-half of the height from which it fell. How far will the ball have traveled when it hits the ground for the fifth time?

A. 34.5 feet
B. 24 feet
C. 12 feet
D. 1.5 feet

lochana · Answer

It's 1.5feet for sure

kl0723 · Answer

it can't be... is asking how far the ball would have traveled after hitting the ground 5 times... it falls from 12 feet in the first one... that alone is way more than 1.5 feet

kl0723 · Answer

so if the ball falls 12 feet and it raises to a height of 1/2 the first height, then after hitting the ground 1 time it would have traveled 12 + 12(0.5)

kl0723 · Answer

so now the ball is falling 6 feet when it hits the ground for the second time... so that would be 6 + 6(0.5)... then 3 + 3(0.50) third time... 1.5 + 1.5(0.5) fourth time... then 0.75 + 0.75(0.5) fifth time... now add all of these calculations

kj4uts · Answer

I got 34.875 so A.?

kl0723 · Answer

that's right :P

kj4uts · Answer

Thank you for your time and help!

kl0723 · Answer

yw ;)