Question

The initial velocity of a particle is u (at t=0) and the acceleration f is given by $f=at$ where $a$ is a constant. Which of the following relation is valid?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

We have $f=\frac{dv}{dt}$

On rearrangement and integration

${\int }_u^{v}dv=a{\int }_0^{t}tdt$

$v-u=a\frac{t^2}{2}$

$v=u+\frac{a{t}^2}{2}$