Projectile Motion — MCQ Practice

A projectile is launched with an initial velocity of $20,\text{m/s}$ at an angle of $30^circ$ above the horizontal. Assuming $g = 10,\text{m/s}^2$ and neglecting air resistance, what is the maximum height reached by the projectile?

A stone is thrown horizontally from the top of a $45,\text{m}$ high tower with a speed of $15,\text{m/s}$. How far from the base of the tower will the stone strike the ground? (Take $g = 10,\text{m/s}^2$)

Two projectiles are launched with the same initial speed $u$. If they are launched at angles $30^circ$ and $60^circ$ with the horizontal, what is the ratio of their horizontal ranges ($R_{30}/R_{60}$)?

A projectile is fired at an angle $heta$ with the horizontal. At its maximum height, the speed of the projectile is half of its initial speed $u$. What is the angle of projection $heta$?

A projectile has the same range $R$ for two angles of projection, $heta_1$ and $heta_2$. If $T_1$ and $T_2$ are the times of flight for these two trajectories, respectively, what is the product $T_1 T_2$?

A projectile is launched such that its maximum height is equal to its horizontal range. What is the angle of projection?