Questions

A point moves in a straight line so that its displacement x metre at time t second is given by x^{2} = 1+t^{2}. Its acceleration in ms^{-2} at time t second is

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a

1x3

b

−tx3

c

1x−t2x3

d

1x−1x2

detailed solution

Correct option is C

x2=1+t2 or x=1+t21/2dxdt=121+t2−1/22t=t1+t2−1/2a=d2xdt2=1+t2−1/2+t−121+t2−3/22t=1x−t2x3

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