For a given launch velocity, at which launch angle does the projectile undergo the maximum horizontal displacement? a. 35° b. 45° c. 75° d. 80° e. 90°

option B. 45°

Explanation:

A body thrown at an angle from horizontal undergoes a projectile motion. The maximum horizontal displacement means the maximum range covered. The range is given by:

where v is the initial velocity, is angle of the projectile and g is the acceleration due to gravity.

For maximum range, sin 2θ = 1

2θ = sin⁻¹ 1 = 90°

θ = 90°/2 = 45°

Thus, the projectile undergoes maximum horizontal displacement at angle of 45°. Correct option is B.