total distance
= origininal drop of 16 m + up and down of each bounce + .....
= 16 + 2(.81)(16) + 2(.81)^2 (16) + 2(.81)^3 (16) + ....
from the 2nd term on, we have an infinite GS
with a = 32 , and r = .81
so total distance
= 16 + 32/(1-.81)
= 16 + 32/(19/100)
= 16 + 3200/19
= 3504/19 m or appr 184.42 m
oops, just noticed that you wanted the total time, not the total distance.
No problem, we just have to find the time it took to fall 184.42 m
16t^2 = 3504/19
t^2 = 219/19
t = appr 3.4 sec
A ball dropped freely from a height of 16 m.Each time it drops h metre, it rebounds 0.81 h metre. A,what is the total vertical distance travelled by the ball before it comes to rest? B,the ball takes the FF times for each fall.What is the total time before it comes to rest?
1 answer