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A particle moves along a straight line. Its position at any instant is given by x=32t-8t34, where x is in metre and t is in second. Find the acceleration of the particle at the instant when particle is at rest.

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a

-16 ms-2

b

-27.6 ms-2

c

32 ms-2

d

16 ms-2

answer is B.

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Detailed Solution

v=dxdt=32-6t2,v=0 at t=2.30 s a=dvdt=-12tAt 2.30 s, a = -27.6 ms-2

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A particle moves along a straight line. Its position at any instant is given by x=32t-8t34, where x is in metre and t is in second. Find the acceleration of the particle at the instant when particle is at rest.