A particle moves in space along the path `z=ax^(3)+by^(2)` in such a way that `(dx)/(dt)=c=(dy)/(dt)` where `a,b` and `c` are constants. The acceleration of the particle is

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 path y = ax^2 (where a is constant) in such a way that x-component of its velocity (u_x) remains constant. The acceleration of the particle is

A particle moves along a path y = ax^2 (where a is constant) in such a way that x-component of its velocity (u_x) remains constant. The acceleration of the particle is

The displacement of the particle along a straight line at time t is given by X=a+bt+ct^(2) where a, b, c are constants. The acceleration of the particle is

A particle moves along the parabolic path y=ax^(2) in such a The accleration of the particle is:

A particle moves along the X-axis with velocity v = (dx)/(dt)=f(x) then the acceleration of the particle is

A particle moves along the parabola y^(2)=2ax in such a way that its projection on y-axis has a constant velocity.Show that its projection on the x-axis moves with constant acceleration

A particle moves uniformly with speed v along a parabolic path y = kx^(2) , where k is a positive constant. Find the acceleration of the particle at the point x = 0.

A particle is moving along a straight line path according to the relations s^(2)=at^(2)+2bt+c represent the distance travelled in t seconds and a, b, c are constant. Then the acceleration of the particle varies as: