Consider-a-rubber-ball-freely-falling-from-a-height-h-4-9-m-onto-a-horizontal-elastic-plate-Assume-that-the-duration-of-collision-is-negligible-and-the-collision-with-the-plate-is-totally-elastic-

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Question Number 16634 by Tinkutara last updated on 24/Jun/17

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

Commented by Tinkutara last updated on 24/Jun/17

Commented by Tinkutara last updated on 24/Jun/17

Answered by ajfour last updated on 24/Jun/17

$$\mathrm{initial}\mathrm{velocity}\mathrm{is}\mathrm{zero},\mathrm{it}\mathrm{gradually}$$$$\mathrm{decreases},\mathrm{then}\mathrm{hits}\mathrm{the}\mathrm{plate}\mathrm{when}$$$$\mathrm{at}\mathrm{maximum}\mathrm{negative}\mathrm{velocity}$$$$\mathrm{which}\mathrm{becomes}\mathrm{as}\mathrm{much}+\mathrm{ve}\mathrm{in}$$$$\mathrm{zero}\mathrm{time},\mathrm{then}\mathrm{decreases}\mathrm{gradually}$$$$\mathrm{to}\mathrm{its}\max .\mathrm{negative}\mathrm{value}\mathrm{where}$$$$\mathrm{upon}\mathrm{it}\mathrm{hits}\mathrm{the}\mathrm{plate}\mathrm{again}.$$$$\mathrm{such}\mathrm{behaviour}\mathrm{is}\mathrm{depicted}\mathrm{for}$$$$\mathrm{v}-\mathrm{t}\mathrm{and}\mathrm{y}-\mathrm{t}\mathrm{only}\mathrm{in}\mathrm{option}\left(3\right).$$

Commented by Tinkutara last updated on 24/Jun/17

$$\mathrm{Thanks}\mathrm{Sir}!$$

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