A projectile is fired into the air at an angle of 50 degrees with the ground and lands on a target that is at the same level at which the projectile started. It will also land on the target if it is fired at an angle of
A) 55 degrees.
B) 40 degrees.
C) 45 degrees.
D) 60 degrees.
E) none of these

Question

Quizplus · Accepted Answer

The range of a projectile launched at an angle θ with the horizontal is given by the formula R = (v^2 sin 2θ) / g, where v is the initial velocity and g is the acceleration due to gravity. For a given initial speed and neglecting air resistance, the range will be the same for launch angles that add up to 90 degrees. Since the projectile was initially launched at 50 degrees, a launch angle of 40 degrees (90 - 50 = 40) will also result in the projectile landing on the target.

A Projectile Is Fired into the Air at an Angle