8) A ball is dropped from a height of 10m. It
bounces to a height of 6m, then 3.6m and so
on. Find the total distance travelled by the
ball.
Answers
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8
Answer:
Answer:
total distance travelled by the ball = 40 m
Step-by-step explanation:
A ball is dropped from a height of 10m
It bounces to a height of 6m, then 3.6m and so on
Distance
10 + 6 + 6 + 3.6 + 3.6 +.........................
10 * 0.6 = 6
6 * 0.6 = 3.6
Total Distance = 10 + 2 * ( 6 + 3.6 +...................................)
This is an infinite GP with a = 6 r = 0.6
Sum = a/(1 - r)
10 + 2 *( 6/(1 - 0.6))
= 10 + 12/0.4
= 10 + 30
= 40
total distance travelled by the ball = 40 m
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