Question

this knowledge check can be taken up to 3 times. the knowledge check is graded for accuracy. round all numerical answers to the ten thousandths place, 4 digits behind the decimal place.
1 formula 1 point
a ball has an initial velocity of 32 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 formula for the x - component of a velocity vector $\vec{v}$ with magnitude $v$ and angle $\theta$ from the horizontal is $v_x = v\cos\theta$.

Step2: Substitute given values

We are given $v = 32$ m/s and $\theta = 30^{\circ}$. So $v_x=32\times\cos(30^{\circ})$.
Since $\cos(30^{\circ})=\frac{\sqrt{3}}{2}\approx0.8660$, then $v_x = 32\times0.8660 = 27.7120$ m/s.

Answer:

$27.7120$