.Two cars are moving in same direction at an instant of time t separation between them is given by `S=40t-2t^(2)` where S is in metre and t in sec.The maximum separation occurs between them during their motion is

The displacement of a particle moving in a straight line, is given by s = 2t^2 + 2t + 4 where s is in metres and t in seconds. The acceleration of the particle is.

A car moves along a straight line whose equation of motion is given by s=12t+3t^(2)-2t^(3) where s is in metres and t is in seconds. The velocity of the car at start will be :-

The position of a particle moving along the y-axis is given as y=3t^(2)-t^(3) where y is in , metres and t is in sec.The time when the particle attains maximum positive y position will be

A car is moving in such a ways that the distance it covers , is given by the equations s = 4t^(2) +3t, where s, is in meters and t is in seconds . What would be the velocity and the accelerations of the car at time t=20 seconds?

The x and y coordinates of a particle at any time t are given by x = 2t + 4t^2 and y = 5t , where x and y are in metre and t in second. The acceleration of the particle at t = 5 s is

Position of a particle at any instant is given by x = 3t^(2)+1 , where x is in m and t in sec. Its average velocity in the time interval t = 2 sec to t = 3 sec will be :

A particle is moving in a straight line. Its displacement at any instant t is given by x = 10 t+ 15 t^(3) , where x is in meters and t is in seconds. Find (i) the average acceleration in the intervasl t = 0 to t = 2s and (ii) instantaneous acceleration at t = 2 s.

The velocity of an object moving rectillinearly is given as a functiion of time by v=4t-3t^(2) where v is in m/s and t is in seconds. The average velociy if particle between t=0 to t=2 seconds is

If a particle moves in a circle of radius 4m at speed given by v = 2t where v is in m/s and t in sec at t = 4sec, acceleration of particle will be