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The displacement x of an object is given...

The displacement x of an object is given as a funstion of time, `x=2t+3t^(2)`. The instantaneous velocity of the object at t = 2 s is

A

`16 ms^(-1)`

B

`14 ms^(-1)`

C

`10 ms^(-1)`

D

`12 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`x=2t+3t^(2)`
`upsilon=(dx)/(dt)=2+6t`
For `t=2s, upsilon=2+6(2)=14m//s`
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