A player throws a football 50.0 m at 61.0° north of west.What is the westward component of the displacement of the football?
A)64.7m
B)55.0 m
C)0.00 m
D)74.0 m
E)24.2 m

Question

Quizplus · Accepted Answer

To find the westward component of the displacement, we use the cosine function because the westward component is adjacent to the angle given. The formula is: $ \text{displacement} \times \cos(\text{angle}) $. Here, it's $ 50.0 \, \text{m} \times \cos(61.0^\circ) $. Calculating this gives approximately 24.2 m, which corresponds to option E.

A Player Throws a Football 50