Q.

A point moves in a straight line so that its displacement x metre at time t second is given by x2 = 1+t2. Its acceleration in ms-2 at time t second is

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a

1x3

b

−tx3

c

1x−t2x3

d

1x−1x2

answer is C.

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Detailed Solution

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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A point moves in a straight line so that its displacement x metre at time t second is given by x2 = 1+t2. Its acceleration in ms-2 at time t second is