A projectile is fired at an angle above the horizontal at a location where g = 9.8 m/s².The initial x and y components of its velocity are 86.6 m/s and 50 m/s respectively.At what angle was the projectile fired above the horizontal? A)45° B)60° C)30° D)90° E)75°

Question

Quizplus · Accepted Answer

Using trigonometry, we can find the angle θ as follows:

tan θ = (y-component of velocity) / (x-component of velocity)

tan θ = 50 / 86.6

tan θ = 0.5774

θ = tan⁻¹(0.5774)

θ ≈ 30°

Therefore, the projectile was fired at an angle of 30° above the horizontal.

So, the correct answer is (C).

A Projectile Is Fired at an Angle Above the Horizontal