The acceleration of a particle is given by, a = t/6 at t = 0, velocity v = 2 m/s, displacement s= 2m. Find the velocity at t= 4 seconds,

The acceleration of a particle is given by a = 3t and at t = 0, v = 0, x = 0. The velocity and displacement at t = 2 sec will be-

The acceleration of a particle is given by a=t^3-3t^2+5 , where a is in ms^-2 and t is in second. At t=1s , the displacement and velocity are 8.30m and 6.25ms^-1 , respectively. Calculate the displacement and velocity at t=2s .

The acceleration of paticle varies with time as : a(t) = 3t^(2) +4 If the initial velocity of particle is 2 m//s , find the velocity of particle at t = 3sec .

Acceleration of a particle is given by a= 3t^(2)+2t +1 Where t is time . Find (i) its velocity at time t assuming velocity to be 10 m/s at t = 0. (ii) its position at time t assuming that the particle is at origin at t = 0. (iii) What is the average speed of the particle in the duration t = 0 to t = 1s? (iv) What is the average acceleration of the particle in the duration t = 0 to t = 1s?

Acceleration of a particle is given by a =1//V Where V is the velocity . Find (i) Velocity of particle at time t, given that v = 10 m/s at t = 0. (ii) Velocity of particle when its position is x, given that speed is 3 m/s at x = 0.

If velocity of a particle is given by v=3t^(2)-6t +4 . Find its displacement from t=0 to 3 secs .

The displacement 's ' of a particle at time 't' is given by s = t^3 - 4t^2 - 5t . Find its velocity and acceleration at ime t= 2 seconds .Also, find t when its acceleration is zero .

Velocity and acceleration of a particle at time t=0 are u=(2 hati+3 hatj) m//s and a=(4 hati+3 hatj) m//s^2 respectively. Find the velocity and displacement if particle at t=2s.

If the displacement of a particle is givne by s=((1)/(2)t^(2)+4sqrtt)m . Find the velocity and acceleration at t = 4 seconds.

A particle is moving with initial velocity 1m/s and acceleration a=(4t+3)m/s^(2) . Find velocity of particle at t=2sec .