A high-speed dart is shot from ground level with a speed of 150 m/s at an angle 30° above the horizontal.What is the vertical component of its velocity after 4.0 s if air effects can be neglected?
A)150 m/s
B)36 m/s
C)130 m/s
D)75 m/s
E)38 m/s

Question

Quizplus · Accepted Answer

First, we need to find the initial vertical component of the velocity (vy). Using trigonometry, we have vy= v * sin(30°) = 150 m/s * 0.5 = 75 m/s.
Since air resistance is neglected, the vertical velocity of the dart does not change during its flight. Therefore, after 4 seconds, the vertical velocity remains the same and is equal to 75 m/s.

A High-Speed Dart Is Shot from Ground Level with a Speed