Question

A particle initially at rest moves along the x-axis. Its
acceleration varies with time as a = 4t. If it starts from
the origin, the distance covered by it in 3s is
1)12m
2)18 m
3)24 m
4)36 m.
(ans 18m how??-chapter kinematics )​

Answer 1

If we integrate given a=4t then we get velocity and again integrating we gate distance and put time in that , you get 18m.

Answer 2

Answer:

2) 18m

Explanation:

on integrating a=4t we get velocity and as we know particle is at rest initially so at t=0, V=0 and hence C=0

again integrating velocity we get displacement