A particle moving in a straight line has an acceleration given by a(t)=2t . The initial velocity of the particle is 2 cm/sec. How far does the particle move between t =1and t = 2 seconds?

Question

A particle moving in a straight line has an acceleration given by a(t)=2t . The initial velocity of the particle is 2 cm/sec. How far does the particle move between t =1and t = 2  seconds?

shamim · Answer

s=ut+(1/2)at^2

anonymous · Answer

could you explain that a bit more, im having a hard time understanding

anonymous · Answer

In the above expression, u is the starting velocity; t is time; and a is the acceleration.  In your problem it's given that u=2cm/s and a=2t.  

Does that help?

shamim · Answer

s=2t+(1/2)*2t*t^2
s=2t+t^3

shamim · Answer

put t=1
nd t=2
then subtract s

shamim · Answer

if u feel more difficulty plz ask