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The motion of a particle is described by...

The motion of a particle is described by the equation `x = a+bt^(2)` where `a = 15` cm and `b = 3 cm//s`. Its instantaneous velocity at time 3 sec will be

A

36 cm/sec

B

18 cm/sec

C

16 cm/sec

D

32 cm/sec

Text Solution

Verified by Experts

The correct Answer is:
B
`x=a+bt^(2)therefore(dx)/(dt)=2bt`
at t=3 sec
`therefore` velocity =2bt`=2xx3xx3=18 cm//s`
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