A ball is rolled off along the edge of a horizontal table with velocity $4 m/s$. It hits the ground after time $0.4 \,\,s$. Which of the following are correct?

$A$ body $A$ is thrown vertically upwards with such a velocity that it reaches a maximum height of $h$. Simultaneously another body $B$ is dropped from height $h$. It strikes the ground and does not rebound. The velocity of $A$ relative to $B v/s$ time graph is best represented by : (upward direction is positive)

A body lying initially at point $(3,7)$ starts moving with a constant acceleration of $4 \hat{i}$. Its position after $3 \,s$ is given by the co-ordinates ..........

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 ...... $^o$ $(g = 10\, m/s^2)$ 

A vector has both magnitude and direction. Does it mean that anything that has magnitude and direction is necessarily a vector? The rotation of a body can be specified by the direction of the axis of rotation, and the angle of rotation about the axis. Does that make any rotation a vector?

If vectors $\overrightarrow {A} = cos\omega t\hat i + sin\omega t\hat j$ and $\overrightarrow {B} = cos\frac{{\omega t}}{2}\hat i + sin\frac{{\omega t}}{2}\hat j$ are functions of time, then the value of $t$ at which they are orthogonal to each other is