Question

1 formula 1 point a ball has an initial velocity of 36 m/s directed at an angle of 30 degrees from the horizontal. calculate the x component of the balls initial velocity. answer

Explanation:

Step1: Recall velocity component formula

The horizontal (x) component of a velocity \( v \) at an angle \( \theta \) from the horizontal is given by \( v_x = v \cos\theta \).

Step2: Substitute values

Given \( v = 36 \, \text{m/s} \) and \( \theta = 30^\circ \), we know that \( \cos(30^\circ) = \frac{\sqrt{3}}{2} \approx 0.866 \).
So, \( v_x = 36 \times \cos(30^\circ) = 36 \times \frac{\sqrt{3}}{2} = 18\sqrt{3} \approx 31.18 \, \text{m/s} \).

Answer:

\( 18\sqrt{3} \, \text{m/s} \) (or approximately \( 31.18 \, \text{m/s} \))