Question

Suppose a player hits several baseballs. Which baseball will be in the air for the longest time?

• A. The one with the farthest range.
• B. The one with the maximum height
• C. The one with the greatest initial velocity
• D. The one leaving the bat at ${45}^{\circ }$ with respect to the ground.

Answer 1

The correct option is B The one with the maximum height

Time of flight $=T$ $=\frac{2u\sin \theta }{g}=\frac{2u_y}{g}\Rightarrow T$ is longest if $u_y$ is greatest
We know that maximum height of a projectile $=H=\frac{u_y^2}{2g}$.
$\Rightarrow$ The baseball with greatest maximum height will stay in air for the longest time.