Discussion Forum : Physics
Question -

Ball are thrown vertically upward in such a way that he next ball is thrown when the previous one is at the maximum height .If the maximum height is 5 m, the number of balls thrown per minute will be(Take G = 10 m/`s^2`)

Options:
A .  60
B .  40
C .  50
D .  120
Answer: Option A

Let  the time taken by ball to reach at maximum height  is `t_0`

At maximum height , v = 0

Here                 `h = ((u + v))/(2) t`

or                     `5 = u/2 t_0`

`:.`                    `t_0  = 10/u`

But for upward motion,          `v^2 = u^2 - 2gh`

or                   `(0)^2 = u^2 - 2 xx 10 xx 5`

`:.`             `u^2       = 2 xx 10 xx 5`

                 `u = sqrt(2 xx 10 xx 5)   `  = 10 m/s

`:.`           Number of balls per minute `= t/t_0 = (1min)/(1sec) =( 60sec)/(1sec) = 60 sec`




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