A bullet is fired with a certain velocity at an angle θ above the horizontal at a location where g = 10.0 m/s². The initial x- and y-components of its velocity are 86.6 m/s and 50.0 m/s respectively. At what angle is the bullet fired above the horizontal? A) 45.0° B) 60.0° C) 30.0° D) 90.0° E) 75.0°

Question

Quizplus · Accepted Answer

We know that the initial x- and y-components of velocity are given by:

Vx = 86.6 m/s
Vy = 50.0 m/s

The angle above the horizontal at which the bullet is fired is given by:

θ = tan^-1(Vy/Vx)

θ = tan^-1(50.0/86.6)

θ ≈ 30.0°

Therefore, the best choice is C) 30.0°.

A Bullet Is Fired with a Certain Velocity at an Angle