Question

Position of particle is given by X=3t-9. Find the time when particle crosses the origin.​

Answer 1

Answer:

Answer. THEREFORE, t = 3 seconds.The position of a particle moving along x-axis is given by

x=(−2t3+3t2+5)m

Velocity, v=dtdx=0

−6t2+6t=0. . . . . . .(1)

6t(−t+1)=0

−t+1=0

t=1sec

Acceleration, a=dtdv

a=−12t+6

a∣t=1sec=−12×1+6

a∣t=1sec=−6m/s2

The correct option is C.