For which value of θ is the range of a projectile fired from ground level a maximum?
A) 30° above the horizontal
B) 45° above the horizontal
C) 55° above the horizontal
D) 60° above the horizontal
E) 90° above the horizontal

Question

Quizplus · Accepted Answer

The range of a projectile is given by R = (v^2 sin 2θ)/g, where v is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity. By differentiating this equation with respect to θ, we can find the value of θ for which the range is a maximum. Setting dR/dθ = 0, we get sin 2θ = 1, which gives θ = 45°. Therefore, choice B is the correct answer.

For Which Value of θ Is the Range of a Projectile