Question

1. giona kicks a soccer ball so that it has an initial velocity 15.8 meters per second at an angle of 28.0° above the ground. what is the vertical component of the initial velocity?

14.0 m/s
-14.6 m/s
-7.42 m/s
7.42 m/s

Explanation:

Step1: Recall the formula for vertical component

The formula for the vertical component \(v_y\) of a velocity \(v\) at an angle \(\theta\) is \(v_y = v\sin\theta\).

Step2: Substitute the given values

Given \(v = 15.8\space m/s\) and \(\theta=28.0^{\circ}\). Then \(v_y=15.8\times\sin(28.0^{\circ})\).
We know that \(\sin(28.0^{\circ})\approx0.4695\). So \(v_y = 15.8\times0.4695\approx7.42\space m/s\).

Answer:

\(7.42\space m/s\) (the fourth option)