Displacement equation of a particle moving in a straight line is `s = A + Bt + ct^2`, find out its acceleration.

Displacement equation for a particle moving in a straight line is x = at^(3)+betat^(2)+gammat+delta . The ratio of the initial acceleration to the initial velocity depends only on _____ .[ Fill in the blank]

The acceleration of a particle starting from rest moving in a straight line with uniform acceleration is 8m//sec^2 . The time taken by the particle to move the second metre is:

The acceleration of a particle moving along a straight line is (6t^(2)-3t)cm//s^(2) , at time t seconds. If the velocity of the particel at time 2 seconds be 10cm/s, find its velocity at time t seconds.

Statement I : A particle moving with uniform acceleration has its displacement proportional to the square of time. Statement II : If the motion of a particle is represented by a straight line on the velocity -time graph its acceleration is uniform.

The displacement (in meter)of a particle, moving along x-axis is given by x=18t+ 5t^2 . Calculate instantaneous acceleration.

The distance S metres moved by a particle traveling in a straight line in t second is given by S = 45t +11t^2-t^3 . Find the time when the particle comes to rest.

Displacement (x) and time (t) of a particle in motion are related as x = at + bt^(2) -ct^(3) where a,b, and c, are constants. Velocity of the particle when its acceleration becomes zero is