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A student throws soft balls out of the w...

A student throws soft balls out of the window at different angles to the horizontal. All soft balls have the same initial speed `v = 10sqrt3 ms^(-1)`. It turns out that all soft balls landing velocities make angles `30^@` or greater with the horizontal. Find the height h (in m) of the window above the ground.

Text Solution

Verified by Experts

The correct Answer is:
5
Minimum `theta` implies minimum `V_(fy)` and maximum `V_(fx)`.
In order to have the aforementioned situation, the rock has to
be launched horizontally.
`v_y = sqrt(2gh)`
`tan 30^@ = v_(y)/v = sqrt(2xx10xxh)/(10sqrt(3)), h = 5m`
.
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