A projectile is launched with initial velocity v₀ at an angle of 30° above the horizontal. If a second projectile is launched with the same initial velocity but at angle of 60° above the horizontal. A) The range of the second projectile will be twice that of the first. B) The range of the second projectile will be 1.41 that of the first. C) The range of the second projectile will be one-half that of the first. D) The ranges of the two projectiles will be identical. E) It is impossible to compare the ranges of the two projectiles.

Question

Quizplus · Accepted Answer

The range of a projectile is determined by the formula R = (v₀² * sin(2θ)) / g. For angles 30° and 60°, sin(2*30°) = sin(60°) and sin(2*60°) = sin(120°), which are equal. Therefore, the ranges are identical.

A Projectile Is Launched with Initial Velocity V0 at an Angle

A Projectile Is Launched with Initial Velocity V₀ at an Angle