Introduction #!#How to find Velocity of a particle moving in a curved path in a plane

if theta is angle between the velocity and acceleration of a particle moving on a circular path with decreasing speed, then

Find the equation of trajectory for the particle moving in circular path as shown.

Let v and a be the instantaneous velocity and acceleration of a particle moving in a plane. Then rate of change of speed (dv)/(dt) of the particle is equal to

A proton and an alpha particle move in circular paths in a plane perpendicular to a uniform magnetic field. If the kinetic energy of the two particles is equal, the ratio of the radii of their paths is _________.

A paticle is acted upon by a force of constant magnitude which always remains perpendicular to the velocity of the particle. If that particle moves in a horizontal plane, then