Please explain the answers. Thank You

1. A rifle is fired horizontally over a large flat plane. At the instant the rifle is fired, a student drops a second identical bullet from the
same height as the rifle. Which bullet hits the ground first?

2. A monkey is hanging from a tree branch. A scientist wants to shoot the monkey with a tranquilizer dart so she can study the monkey. She knows the monkey will be startled by the sound of the tranquilizer gun and will let go of the branch at the instant the gun is
fired. Where should the scientist aim to hit the monkey? (Above it, below it or directly at it?)

1 answer

1. D1 = Vx * Tf
h = 0.5g*Tf^2
Tf^2 = h/0.5g
Tf = sqrt (h/0.5g) = Fall time of fired
bullet.

h = 0.5g*Tf^2
Tf^2 = h/0.5g
Tf = sqrt (h/0.5g) = Fall time of the
dropped bullet.

Therefore, the fall times are equal.

2. Directly at it.