Question

The horizontal and vertical components of the initial velocity of a football are 24 m/s and 7 m/s respectively. what is the initial velocity of the football?

Answer 1

Vx = V cos θ = 24

Vy = V sin θ = 7

Vy / Vx = tan θ = .292

θ = 16.3 deg

V = Vy / sin 16.3 = 24.9 m/s

Check:

V = Vx / cos 16.3 = 25 m/s (within rounding)