The Range R of a Projectile Is Where ν₀

Multiple Choice

The range R of a projectile is where ν₀ is the initial velocity in feet per second and θ is the angle of elevation. If ν₀ = 2200 feet per second and θ is changed from 12° to 13° use differentials to approximate the change in the range. Round your answer to the nearest integer. ​

A) 2,412 ft
B) 4,186 ft
C) 5,164 ft
D) 2,582 ft
E) 4,823 ft