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 ...... $^o$ $(g = 10\, m/s^2)$
$45$
$60$
$30$
${\tan ^{ - 1}}\,\left( {3/4} \right)$
Ship $A$ is sailing towards north -east with velocity $\vec v = 30\,\hat i + 50\hat j\,km/hr$ where $\hat i$ points east and $\hat j$ , north. Ship $B$ is at a distance of $80\, km$ east and $150\, km$ north of Ship $A$ and is sailing towards west at $10\, km/hr$. $A$ will be at minimum distance from $B$ is.........$hrs$
A car travels $6\, km$ towards north at an angle of $45^o$ to the east and then travels distance of $4\, km$ towards north at an angle $135^o$ to east. How far is the point from the starting point? What angle does the straight line joining its initial and final position makes with the east?
A particle is moving with velocity $\vec v = K(y\hat i + x\hat j)$ where $K$ is a constant. The general equation for its path is