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
-tx2t
c
1x-t2x3
d
1x-1x2t
answer is C.
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Detailed Solution
x2=1+t2 or x=1+t21/2 dxdt=121+t2-1/22t=t1+t2-1/2 a=d2xdt2=1+t2-1/2+t-121+t2-3/22t =1x-t2x3