Question

A ball falls from a height of 100 mts. on a floor. If in each rebound, it describe (4/5)th height of the previous falling height, then the total distance travelled by the ball before it come to rest is??

Answer 1

Answer:

hey there!

here's ur answer

Step-by-step explanation:

given height = 100m

for first time it will take 100m,then 2(100).4/5,....and so on till infinity

so s = 100 + 2(100).4/5 + 2(100).4/5^2 + 2(100).4/5^3....infinity

       => 100 + 2(100).4/5 [ 1 + 4/5 + 4/5^2....infiity]

       => 100 + 2(100).4/5 [  1 divided by 1/5 ]

       => 100 + 800*5/5

       => 900 m

so distance travelled = 900 m

Hope it helps u!

Thanks