If the maximum speed of a particle in a medium carrying a traveling wave is V_0, then find the speed of the particle when displacement is half of maximum value.

Why does it happen? The wall of a dam is broad at its base.

A motorcyclist moving with uniform retardation takes 10s and 20s to travel successive quarter kilometres. How much further will he travel before coming to rest?

A projectile of mass m is fired with velocity v from a point P at θ = 45°. Neglecting air friction, the magnitude of change of momentum between the leaving point P and arriving point Q is:
A. mv / √2
B. 2mv
C. (1/2)mv
D. √2mv

Explain the mechanism of claisen-schmidt reaction.