A particle moves along a straight line to follow the equation `ax^(2) + bv^(2) = k`, where `a, b` is and k are constant and `x` and and `x` axis coordirete and velocity of the particle respectively find the amplitude

The displacement x of a particle at time t moving along a straight line path is given by x^(2) = at^(2) + 2bt + c where a, b and c are constants. The acceleration of the particle varies as

A particle moves along a straight line according to x = Pt^2 + 2qt + r where x is the distance travelled in time t and p, q and r are constants. Find an expression for the acceleration of the particle.

The motion of a particle along a straight line is described by the function x=(2t -3)^2, where x is in metres and t is in seconds. Find (a) the position, velocity and acceleration at t=2 s. (b) the velocity of the particle at the origin .

A particle moves along x-axis obeying the equation x=t(t-1)(t-2), where x (in metres) is the position of the particle at any time t (in seconds). The displacement when the velocity of the particle is zero, is