The acceleration time graph of a particle moving along a straight line is as shown in figure . At what time the particle acquires its initial velocity.

The acceleration time graph of a particle moving along a straight line

1.	The acceleration time graph of a particle moving along a straight line is as shown in figure . At what time the particle acquires its initial velocity.
Answer» SOLUTION :`a=a_(0)t+a_(1), t=0,a=a_(1)=10, a_(1)=10,a=0at t=4`seconds. `0=+4 a_(0)+10, a_(0)=2.5` `a=2.5t+10,(dv)/(dt)=-2.5t+10` `intdv=int(-2.5t+10)dt, v=2.5t^(2)/2+10t+C` `t=0,C=v_(0), v=-2.5t^(2)/2+10t+v_(0)` `v=v_(0)-2.5t^(2)/2+10t=0,2.5t^(2)/5=10t` t=8 seconds.