The velocity of a paticle is given by the equation, `v=2t^(2)+5cms^(-1)`. Find (i) the change in velocity of the velocity of the particle during the time interval between `t_(1)=2s` and `t_(2)=4s` (ii) the average acceleration during the same interval and (iii) the instantaneous acceleration at `t_(2)=4s`.

The velocity of a particle is given by v=(2t^(2)-3t+10)ms^(-1) . Find the instantaneous acceleration at t = 5 s.

The velocity of a particle are given by (4t – 2)" ms"^(–1) along x–axis. Calculate the average acceleration of particle during the time interval from t = 1 to t = 2s.

The angular velocity of a particle is given by the equation omega =2t^(2)+5rads^(-1) . The instantaneous angular acceleration at t=4 s is

If the motion of aparticle is governed by the equation, s= 2t^3- 3t^2+ 2t +2 , find the poswition, velocity and acceleration of the particle at time t=2s .

If velocity of a particle is given by v=2t^(2)-2 then find the acceleration of particle at t = 2 s.

The intantaneous coordinates of a particle are x= (8t-1)m and y=(4t^(2))m . Calculate (i) the average velocity of the particle during time interval from t =2s to t=4s (ii) the instantaneous velocity of the particle at t = 2s .

The displacement (in metre) of a particle moving along X-axis is given by x=18t+5t^(2) . The average acceleration during the interval t_(1)=2s and t_(2)=4s is

The velocity of a particle is given by v=(2t^(2)-4t+3)m//s where t is time in seconds. Find its acceleration at t=2 second.

The angular position of a point on the rim of a rotating wheel is given by theta=4t^(3)-2t^(2)+5t+3 rad. Find (a) the angular velocity at t=1 s , (b) the angular acceleration at t=2 s . (c ) the average angular velocity in time interval t=0 to t=2 s and (d) the average angular acceleration in time interval t=1 to t=3 s .

The displacement s of a moving particle at a time t is given by s=5+20t-2t^(2) . Find its acceleration when the velocity is zero.