If the instantaneous velocity of a particle projected as shown in the figure is given by $v = a \hat{i} + (b - ct) \hat{j}$,where $a, b$,and $c$ are positive constants,the range on the horizontal plane will be

Two seconds after projection,a projectile is travelling in a direction inclined at $30^o$ to the horizontal. After one more second,it is travelling horizontally. What is the magnitude and direction of its velocity at the initial point?

In the climax of a movie,the hero jumps from a helicopter and the villain chasing the hero also jumps at the same time from the same level. After some time,when they are at the same horizontal level,the villain fires a bullet horizontally towards the hero. Both the hero and the villain are falling with a constant downward acceleration of $2\ m/s^2$ due to their parachutes. Assuming the hero is within the range of the bullet and air resistance on the bullet is negligible,which of the following is correct?

$A$ fighter plane,flying horizontally with a speed of $360 \text{ km/h}$ at an altitude of $500 \text{ m}$,drops a bomb for a target straight ahead of it on the ground. At what approximate distance ahead of the target should the bomb be dropped? Assume that acceleration due to gravity $g = 10 \text{ m/s}^2$. Neglect air drag.

What do you mean by projectile motion and projectile particle? Find the value of the position of a projectile particle at any instant of time.

The maximum horizontal range of a projectile is $400\;m$. What is the maximum height attained by it (in $;m$)?