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Q.

A student throws soft balls out of the window at different angles to the horizontal. All soft balls have the same initial speed v=103ms−1. It turns out that all soft balls landing velocities make angles 30o or greater with the horizontal. Find the height h (in m) of the window above the ground. Take g=10ms-2

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answer is 5.

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Detailed Solution

Minimum θ implies minimum Vfy and maximum Vfx. In order to have the mentioned situation, the rock has to be launched horizontally. vy=2ghtan⁡30∘=vyv=2×10×h103,h=5m
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