Consider a rubber ball freely falling from a height $h=4.9 \mathrm{~m}$ onto a horizontal elastic plate.…

Consider a rubber ball freely falling from a height $h=4.9 \mathrm{~m}$ onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time the height as function of time will be





Solution

$\mathrm{h}=\frac{1}{2} \mathrm{gt}^2, \quad \mathrm{v}=-\mathrm{gt}$ and after the collision, $\mathrm{v}=\mathrm{gt}$. (parabolic) (straight line) Collision is perfectly elastic then ball reaches to same height again and again with same velocity.

Asked in: JEE Main 2009

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