Answer:
The velocity of the particle will be zero for t = 1.47 sec .
Step-by-step explanation:
Given equation:
a(t)=t+sin(t)
lets integrate it with respect to time,
∫ a(t) dt = ∫(t+sin(t)) dt
⇒ v(t) = - cos(t) +c
At, t=0, v= -2 so,
⇒ -2 = 0 - 1 +c
⇒ c= -1
Hence,
v(t) = - cos(t) -1
for the velocity to be zero,
0 = - cos(t) -1
⇒ t = 1.47 sec (taking only positive value)
So at 1.47 sec the velocity of particle will be zero.