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A ball thrown vertically upwards returns...

A ball thrown vertically upwards returns to the thrower in `20` second. Calculate the velocity with which it was thrown and the maximum height attained by the ball. Take `g = 10 m//s^(2)`.

A

100 m/s, 200 m

B

10 m/s, 500 m

C

100 m/s, 500 m

D

None

Text Solution

Verified by Experts

The correct Answer is:
C

Time of ascent = time of desent, `t = (20)/(2) = 10 s`
`u = ?, h = ?, g = 10m//s^(2)`.
At the highest point, `v = 0`
From `v = u +at`
`0 = u - 10 xx 10, u = 100 m//s`
From `v^(2) - u^(2) = 2 as`
`0 - (100)^(2) = 2(-10)h`
`h = (100 xx 100)/(2 xx 10) = 500 m`
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