Question

A kicker punts a football from the very center of the field to the sideline 39 yards downfield.

What is the magnitude of the net displacement of the ball? (a,football field is 53 yards wide)

What is the angle between the direction of the net displacement of the ball and the central line of the feild.

Answer 1

L = 47.15 yards

∅ = 55.80°

Step-by-step explanation:

Given

y = 39 yards

x = 53/2 yards

L = ?

We apply the formula

L = √(x²+y²)

L = √((53/2 yards)²+(39 yards)²)

L = 47.15 yards

The angle between the direction of the net displacement of the ball and the central line of the feild is obtained as follows

∅ = tg⁻¹(y/x)

∅ = tg⁻¹(39/(53/2)) = 55.80°