A truck travelling due north at $20 \,m/s $ turns west and travels at the same speed. The change in its velocity be

A man moves in $x-y$ plane along the path shown. At what point is his average velocity vector in the same direction as his instantaneous velocity vector. The man starts from point $P$.

It takes one minute for a passenger standing on an escalator to reach the top. If the escalator does not move it takes him $3$ minute to walk up . ....... $\sec$ long will it take for the passenger to arrive at the top if he walks up the moving escalator ?

At a height $0.4\, m$ from the ground, the velocity of a projectile in vector form is $\vec v = \left( {6\hat i + 2\hat j} \right)\,m/{s}$. The angle of projection is ...... $^o$ $(g = 10\, m/s^2)$ 

Which physical quantity can be found by first differntiation and second differentiation of position vector ?

Two particles $A$ and $B$ are moving in $XY$ plane. Particle $A$ moves along a line with equation $y = x$ while $B$ moves along $X$ axis such that their $X$ coordinates are always equal. If $B$ moves with a uniform speed $3\ m/s$ , the speed of $A$ is