Question

a ball has an initial velocity of 13 m/s directed at an angle of 30 degrees from the horizontal. calculate the y - component of the balls initial velocity.

Explanation:

Step1: Recall the formula for y - component of velocity

The formula for the y - component of an initial velocity $v_{0y}$ is $v_{0y}=v_0\sin\theta$, where $v_0$ is the initial velocity and $\theta$ is the angle with the horizontal.

Step2: Substitute the given values

Given $v_0 = 13$ m/s and $\theta = 30^{\circ}$, and $\sin30^{\circ}=\frac{1}{2}$. So $v_{0y}=13\times\sin30^{\circ}=13\times\frac{1}{2}=6.5$ m/s.

Answer:

6.5 m/s