A particle is projected from a point A with velocity $u=\sqrt{6}$ at an angle of ${45}^o$ with horizontal as shown in figure. It strikes the plane BC normally. Find the velocity (in m/s) of the particle just before the collision.

Q. A particle is projected from point $A$ with velocity $u\sqrt{2}$ at angle $45$ to horizontal as shown in diagrame. It strikes the plane $BC$ at right angle. What is the velocity of particle at the time of impact?

Q. A particle is projected from point O on the ground with velocity $u=5\sqrt{5}m/s$ at angle $a={\tan }^{-1}\left(0.5\right).$ It strikes at point C on a fixed smooth plane AB having inclination of ${37}^{\circ }$ with horizontal as shown in figure. If the particle does not rebound, calculate coordinates of point C in reference to coordinate system as shown in the figure.

Q. A particle of mass $m$ is projected from horizontal ground with an initial velocity of $u$ making an angle $\theta$ with horizontal. The angular momentum of the particle about the point of projection, when it just strikes the ground, is -

Q. A particle of mass 'm' is projected on horizontal ground with an initial velocity of 'u' making an angle $\theta$ with horizontal. Find out the angular momentum of particle about the point of projection when, it just strikes the ground.

Q. A particle is projected from the bottom of an inclined plane of angle ${30}^{\circ }$ with a velocity of $20\text{m/s}$ at an angle of ${45}^{\circ }$ with the horizontal. Find the horizontal distance travelled by the particle before it hits the plane.