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Q.

The position x of a particle with respect to time t along x -axis is given by x=9t2t3 where x is in metres and t in seconds. The position of this particle when it achieves maximum speed along the +x direction will be at

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a

54 m

b

81 m

c

24 m

d

32 m

answer is A.

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Detailed Solution

V=dxdt=ddt(gt2t3)=18t3t2

For maximum speed

dvdt=0186t=0

t=3sec

Xmax=8127=54m

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