Question Detail

PHY 101 Kinematics in Two Dimensions Objective Question

Question

A projectile is launched horizontally from a height y above the ground with an initial horizontal speed vₓ. The time it takes to hit the ground is
Options
A dependent on both vₓ and y.
B dependent on vₓ only.
C dependent on y only.
Correct Answer
D constant and independent of both vₓ and y.
Correct Answer

Option C is the correct answer.

Detailed Explanation

For a horizontally launched projectile, the initial vertical velocity is zero. The time of flight is determined solely by the vertical motion under gravity: y = (1/2)gt². Solving for t gives t = √(2y/g), which depends only on the height y and g, not on the horizontal speed vₓ.

Hint

Which component of motion (horizontal or vertical) determines how long it takes an object to fall from a certain height?

Question Info