Question

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

• A. 5 m
• B. 7 m
• C. 11 m
• D. 9 m

Answer 1

Answer: (C)

$v=2t$

$\underset{z}{\overset{x}{\int }}dx=\underset{0}{\overset{3}{\int }}vdt$

$\Rightarrow x-2=\underset{0}{\overset{3}{\int }}2tdt$

$\Rightarrow x-2={\left[\frac{2t^2}{2}\right]}_0^3$

$\Rightarrow x=11m$