A particle moves rectilinearly with initial velocity u and constant acceleration a. Find the average velocity of the particle in a time interval from `t=0` to `t=t` second of its motion.

A particle moves rectilinearly possessing a parabolic s-t graph. Find the average velocity of the particle over a time interval from t = 1/2 s to t = 1.5 s.

A particle moves rectilinearly possessing a parabolic s-t graph. Find the average velocity of the particle over a time interval from t = 1/2 s to t = 1.5 s.

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

A particle of mass m is moving along the line y-b with constant acceleration a. The areal velocity of the position vector of the particle at time t is (u=0)

If a particle starts moving with initial velocity u=1ms^-1 and acceleration a=2ms^-2 , the veloctiy of the particle at any time is given by v=u+at=1+2t . Plot the velocity-time graph of the particle.

If a particle starts moving with initial velocity u=1ms^-1 and acceleration a=2ms^-2 , the veloctiy of the particle at any time is given by v=u+at=1+2t . Plot the velocity-time graph of the particle.

A particle is projected from ground at angle 45^@ with initial velocity 20(sqrt2) m//s . Find (a)change in velocity, (b)magnitude of average velocity in a time interval from t=0 to t=3s .

The motion of a particle, along x-axis, follows the relation x = 8t- 3t^(2) . Here x and t are expressed in metre and second respectively . Find (i) the average velocity of the particle in time interval 0 to 1 s and (ii) its instantaneous velocity at t = 1 s.