Question

A ball is dropped
from a height of 900
centimetres. Each
time it rebounds, it
rises to two-third of
the height it has
fallen through. The
total
distance
travelled by the ball
before it comes to
rest in metres, is​

Answer 1

Answer:

198m

Step-by-step explanation:

900cm = 9m

9+2(9)*2/3 + 2(9)*(2/3)² + ...+2(9)*(2/3)ⁿ

9+2[(9)*(2/3) + (9)*(2/3)²+(9)*(2/3)ⁿ]

a= 9*2/3           r = 2/3

Sₙ = a/(1-r) = (9*2/3) / 1-2/3 = 9*2

Sₙ = 9*2

The total distance travelled by the ball before it comes to rest

= 9+2(9*2)

= 11*18 = 198m

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Hope helped!! It was Hard to solve.