A particle moves in the xy-plane with constant acceleration `a` directed along the negative y-axis. The equation of path of the particle has the form `y= bx - cx^2`, where b and c are positive constants. Find the velocity of the particle at the origin of coordinates.

A particle moves in the plane xy with constant acceleration 'a' directed along the negative y-axis. The equation of motion of the particle has the form y= px - qx^2 where p and q are positive constants. Find the velocity of the particle at the origin of co-ordinates.

A particle moves in the xy plane with a constant acceleration omega directed along the negative y-axis. The equation of motion of particle has the form y = cx -dx^(2) , where c and d are positive constants. Find the velocity of the particle at the origin of coordinates.

A particle moves in the plane x y with constant acceleration a directed along the negative y-axis. The equation of motion of the particle has the form y = k_(1)x-k_(2)x^(2) , where k_(1) and k_(2) are positive constants. Find the velocity of the particle at the origin of coordinates.

A particle moves in the x-y plane with constant acceleration alpha directed along the negative direction of the y-axis.the equation of the trajectory of the particle is y=ax- bx^2 , where a and b are constants. Find the velocity of the particle when it passes through the origin.

A particle moves in a plane with constant acceleration in a direction different from the initial velocity. The path of the particle will be

A particle moves in the xy plane with a constant acceleration 'g' in the negative-direction. Its equqaiton of motion is y = ax-bx^(2) , where a and b are constants. Which of the following are correct?

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 constrained to move along x-axis given a velocity u along the positive x-axis. The acceleration ' a ' of the particle varies as a = - bx, where b is a positive constant and x is the x co-ordinate of the position of the particle . Then select the correct alternative(s): .