Question

if acceleration = t² +t + 1 find velocity at time 2 second if at time 1second body moving with 2 metre in negative direction.​

Answer 1

Explanation:

It is given that a=2t+4t2

∵a=dtdv

dv=2t+4t2dt

∫dv=∫(2t+4t2)dt

v=t2+34t3

∵v=dtdx

dx=(t2+34t3)dt

∫dx=0∫4(t2+34t3)dt

x=3t3+3t4∣∣∣∣∣04

x=31[4