State whether the following statements are true or false:
$(a)$ The time of flight of a projectile depends only on the vertical component of the initial velocity.
$(b)$ The acceleration of a projectile at the maximum height is zero.
$(c)$ The maximum range of a projectile depends on the angle of projection.

(C) False. The time of flight is given by $T = \frac{2 u \sin \theta}{g}$. It depends on the vertical component of the initial velocity $(u \sin \theta)$ and the acceleration due to gravity $(g)$.
$(b)$ False. Throughout the motion,the acceleration due to gravity $(g)$ remains constant and acts downwards. Therefore,even at the maximum height,the acceleration is $g$ (not zero).
$(c)$ True. The horizontal range is given by $R = \frac{u^2 \sin(2 \theta)}{g}$. The maximum range occurs when $\theta = 45^{\circ}$,thus it depends on the angle of projection.