A boy throws a ball in air at $60^o$ to the horizontal, along a road with a speed of $10\,ms^{-1}$ $(36\, km/h)$. Another boy sitting in a passing by car observes the ball. Sketch the motion of the ball as observed by the boy in the car, if car has a speed of $(18\, km/h)$. Give explanation to support your diagram.

The equation of projectile is $y = 16x\, – \,\frac{{5{x^2}}}{4}$, The horizontal range is ………. $m$

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are $v_1$ and $v_2$ at angles $\theta _1$ and $\theta_2$ respectively from the horizontal, then answer the following question

If $v_1\,\,cos\,\,\theta _1 = v_2\,\,cos\,\,\theta _2$, then choose the incorrect statement

A bullet fired at an angle of $30^o$ with the horizontal hits the ground $3.0\; km$ away. By adjusting its angle of projection, can one hope to hit a target $5.0\; km$ away ? Assume the muzzle speed to be fixed, and neglect air resistance.

A ball thrown by a boy is caught by another after $2\ sec$. some distance away in the same level. If the angle of projection is $30^o $, the velocity of projection is  ……… $m/s$