Consider a rubber ball freely falling from a height ` h = 4.9 m` onto a horizontally elastic plate. Assume that the duration of collision is negligible and the collisions with the plate is totally elastic . Then the velocity as a function of time and the height as a function of time will be :A. B. C. D.

Consider a rubber ball freely falling from a height ` h = 4.9 m` onto

1.	Consider a rubber ball freely falling from a height ` h = 4.9 m` onto a horizontally elastic plate. Assume that the duration of collision is negligible and the collisions with the plate is totally elastic . Then the velocity as a function of time and the height as a function of time will be :A. B. C. D.
Answer» Correct Answer - B Consider downward direction negative and upward positive. for downward motion, `v = - g t`. For upward motion, `v = + g t`. As the collisions are elastic, the magnitude of velocity will remain the same. The direction will change after each collision, starting with negative direction. Also, `v prop t`, hence the graph will be straight line. Also, `h = 4.9 - (1)/(2) g t^(2)` (before collision) `h = (1)/(2) g t^(2)` (after collision) As `h prop t^(2)`, hence graph will be parabolic with `h = 4.9 m` at `t = 0`.

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