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Q.

The motion of a particle is described by the equation x=a+bt2 where a=15cm and b=3cm. Its instantaneous velocity at time 3 sec will be:

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a

16 cm/sec

b

36 cm/sec

c

32 cm/sec

d

18 cm/sec

answer is B.

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Detailed Solution

x=a+bt2 v=dxdt=0+2bt

At t=3sec

v=2×3×3=18cm/sec(Asb=3cm)

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