Your lab instructor projects a ball horizontally from a lab bench that lands on the floor a horizontal distance away. Compared with the time the ball would take if simply dropped vertically from the bench, the time in the air for the projected ball is
A)less.
B)the same.
C)greater.
The horizontal distance from the bottom of the bench the ball travels in hitting the floor is equal the ball's initial speed
D)multiplied by its time in the air.
E)coupled with its speed of fall.
F)squared plus its downward speed squared when hitting the floor.

Question

Quizplus · Accepted Answer

The time a projectile is in the air is determined solely by its vertical motion, which is independent of its horizontal motion. Since gravity acts downwards, the time it takes for an object to fall to the ground depends only on its initial height and the acceleration due to gravity, not on its horizontal velocity. Therefore, a ball projected horizontally from a height will take the same time to reach the ground as a ball dropped vertically from the same height.The horizontal distance traveled by the projectile is equal to its initial horizontal speed multiplied by the time it is in the air. This is because the horizontal motion is uniform (assuming no air resistance), so the distance covered is simply the product of speed and time.

Your Lab Instructor Projects a Ball Horizontally from a Lab