A problem by Achal Jain

Level 2

The motion of a particle is given by the equation u=at. The distance traveled by the particle in 4sec is

8a 4a 12a 6a

1 solution

Chew-Seong Cheong
Jun 20, 2015

Assuming $u$ is velocity at time $t$ , then displacement is given by:

$s(4) = \displaystyle \int_0^4 {u \space dt} = \int_0^4 {at \space dt} = \left[ \dfrac{1}{2} a t^2 \right]_0^4 = \boxed{8a}$