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A man throws balls with the same speed v...

A man throws balls with the same speed vertically upwards one after the other at an interval of 2s. What should be the speed of the throw so that more than two balls are in the sky at any time ? (Given `g = 9.8 m//s^(2)`)

A

1) `("Any speed less than")19.6ms^(-1)`

B

2) `("Only with speed")19.6ms^(-3)`

C

3) `("More than")19.6 ms^(-4)`

D

4) `("At least")9.8ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C

Time taken by ball to reach maximum height
`v=u-gt`
at meximum height , final speed is Zereo ie, v=0
So , u=gt
or t=u.g
In 2s. U=`2xx9.8=196ms^(-1)`
If man throws the ball with velocity of `19.6ms6(-1)`
Then after 2 s it will reach the maximum height . When he thrown 2nd ball , 1st is at top. when he throws third ball , 1st will come to ground and 2nd will at the top. Therefore , only 2balls are in air . if he wants to keep more than 2 balls in air he should throw the ball with a speed greater than `19.6ms^(-1)`
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