Question

2 formula 1 point a ball has an initial velocity of 9 m/s directed at an angle of 30 degrees from the horizontal. calculate the y component of the ball’s initial velocity. answer previous

Explanation:

Step1: Recall velocity component formula

To find the y - component of velocity (\(v_y\)) when a velocity \(v\) is at an angle \(\theta\) with the horizontal, we use the formula \(v_y=v\sin\theta\). Here, \(v = 9\space m/s\) and \(\theta=30^{\circ}\).

Step2: Substitute values into formula

We know that \(\sin(30^{\circ})=\frac{1}{2}\). Substituting \(v = 9\space m/s\) and \(\sin(30^{\circ})=\frac{1}{2}\) into the formula \(v_y = v\sin\theta\), we get \(v_y=9\times\sin(30^{\circ})\).
Since \(\sin(30^{\circ})=\frac{1}{2}\), then \(v_y = 9\times\frac{1}{2}=4.5\space m/s\).

Answer:

\(4.5\space m/s\)