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Question Number 20936 by Tinkutara last updated on 08/Sep/17

$$\mathrm{A}\mathrm{graph}\mathrm{of}x\mathrm{versus}t\mathrm{is}\mathrm{shown}\mathrm{in}\mathrm{Figure}.$$$$\mathrm{Choose}\mathrm{correct}\mathrm{alternatives}\mathrm{from}\mathrm{below}.$$$$\left(a\right)\mathrm{The}\mathrm{particle}\mathrm{was}\mathrm{released}\mathrm{from}$$$$\mathrm{rest}\mathrm{at}t=0$$$$\left(b\right)\mathrm{At}B,\mathrm{the}\mathrm{acceleration}a>0$$$$\left(c\right)\mathrm{At}C,\mathrm{the}\mathrm{velocity}\mathrm{and}\mathrm{the}$$$$\mathrm{acceleration}\mathrm{vanish}$$$$\left(d\right)\mathrm{Average}\mathrm{velocity}\mathrm{for}\mathrm{the}\mathrm{motion}$$$$\mathrm{between}A\mathrm{and}D\mathrm{is}\mathrm{positive}$$$$\left(e\right)\mathrm{The}\mathrm{speed}\mathrm{at}D\mathrm{exceeds}\mathrm{that}\mathrm{at}E.$$

Commented by Tinkutara last updated on 08/Sep/17

Answered by ajfour last updated on 09/Sep/17

$$\left(a\right),\left(c\right),\left(e\right)$$

Commented by Tinkutara last updated on 09/Sep/17

$$\mathrm{Thank}\mathrm{you}\mathrm{very}\mathrm{much}\mathrm{Sir}!$$

Commented by ajfour last updated on 09/Sep/17

$$ifthegraphofx-tchangesfrom$$$$convextoconcaveorvice-versa$$$$accelerationiszerothere,and$$$$iftangenttoitishrizontalthen$$$$velocityiszero.AtCboththe$$$$conditionsseemfulfilled.Speedor$$$$magnitudeofslope\left(velocity\right)atD$$$$ismorethanatE.$$

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