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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

`10"cms"^(-1)`

B

`20"cms"^(-1)`

C

`60"cms"^(-1)`

D

`90"cms"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
`x=a+bt^(2)`
Differentiating both side
`(dx)/(dt)=(d(a+bt^(2)))/(dt)impliesV=0+2bt`
`V=0+2xx15xx3`
`V=90 "cms"^(-1)`
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