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 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 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 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 according to the law x = kt, y = kt (1- alphat) , where k and alpha are positive constants and t is time. The trajectory of the particle is

A particle movesin the X-Y plane with a constasnt acceleration of 1.5 m/s^2 in the direction making an angle of 37^0 with the X-axis.At t=0 the particle is at the orign and its velocity is 8.0 m/s along the X-axis. Find the velocity and the position of the particle at t=4.0 s.

A particle is moving on a straight line path with constant accleration directed along the direction of instantaneous velocity. Which of the following statements are false about the motion of particle ?