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Velocity v of a particle moving along x ...

Velocity `v` of a particle moving along x axis as a function of time is given by `v = 2t m//s`. Initially the particle is to the right of the origin and `2 m` away from it. Find the position (distance from origin) of the particle after first `3 s`.

A

5 m

B

7 m

C

11 m

D

9 m

Text Solution

Verified by Experts

The correct Answer is:
C
`v = 2t`
`underset(z)overset(x)(int) dx = underset(0)overset(3)(int) v dt rArr x - 2 = underset(0)overset(3)(int) 2t dt`
`rArr x-2 = [(2 t^2)/(2)]_0^3 rArr x = 11 m`.
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