. A soccer ball is kicked and has an initial vertical speed of 4.75 m/s and an initial
horizontal speed of 4.50 m/s. With what angle is the ball kicked?
a. 46.5 °
b. 47.3 °
c. 48.1 °
d. 49.7 °
To find the angle at which the ball is kicked, we can use the fact that the initial vertical speed and initial horizontal speed form a right triangle.
Let the angle at which the ball is kicked be θ. Then, we can use trigonometry to find the angle:
tan(θ) = vertical speed / horizontal speed
tan(θ) = 4.75 / 4.50
tan(θ) = 1.0556
θ = arctan(1.0556)
θ ≈ 47.3°
Therefore, the angle at which the ball is kicked is approximately 47.3°.
Therefore, the correct answer is b. 47.3 °.