The position x of a particle varies with time t according to the relation `x=t^3+3t^2+2t`. Find the velocity and acceleration as functions of time.

The acceleration of a particle varies with time t seconds according to the relation a=6t+6ms^-2 . Find velocity and position as funcitons of time. It is given that the particle starts from origin at t=0 with velocity 2ms^-1 .

The acceleration of a particle varies with time t seconds according to the relation a=6t+6ms^-2 . Find velocity and position as funcitons of time. It is given that the particle starts from origin at t=0 with velocity 2ms^-1 .

The position of a particle varies with time according to the relation x=3t^(2)+5t^(3)+7t , where x is in m and t is in s. Find (i) Displacement during time interval t = 1 s to t = 3 s. (ii) Average velocity during time interval 0 - 5 s. (iii) Instantaneous velocity at t = 0 and t = 5 s. (iv) Average acceleration during time interval 0 - 5 s. (v) Acceleration at t = 0 and t = 5 s.

The position of a particle varies with time according to the relation x=3t^(2)+5t^(3)+7t , where x is in m and t is in s. Find (i) Displacement during time interval t = 1 s to t = 3 s. (ii) Average velocity during time interval 0 - 5 s. (iii) Instantaneous velocity at t = 0 and t = 5 s. (iv) Average acceleration during time interval 0 - 5 s. (v) Acceleration at t = 0 and t = 5 s.

The displacement s of a particle at time t is given by s = t^3 -4 t^2 -5t. Find the velocity and acceleration at t=2 sec

The acceleration a of a particle starting from rest varies with time according to relation, a=alphat+beta . Find the velocity of the particle at time instant t. Strategy : a=(dv)/(dt)

The acceleration a of a particle starting from rest varies with time according to relation, a=alphat+beta . Find the velocity of the particle at time instant t. Strategy : a=(dv)/(dt)

The displacement x of a particle varies with time 't' as, x=3t^(2)-4t+30. Find the position, velocity and acceleration of the particle at t = 0.

If the displacement x of a particle (in metre) is related with time (in second) according to relation x = 2 t^3 - 3t^2 +2 t + 2 find the position, velocity and acceleration of a particle at the end of 2 seconds.

The position x of a particle varies with time t as x=a t^(2)-b . For what value of t acceleration is zero?