Question

A partical start it's motion with an acceleration a=2t,where t is time. Find its velocity and displacement after 3 seconds

Answer 1

formula to remember

$\int\limits^a_b {x} \, dx =x^n^+^1/n+1$

a=2t

a=dv/dt

dv/dt=2t

dv=2tdt

integrating

v=t²

if t=3

c=9 m/s

v=dx/dt

dx/dt=t²

dx=t²dt

x=t³/3

if t=3

x=3³/3

=9 m

Hope this helps