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NISA [10]
3 years ago
12

A soccer ball is kicked with an initial speed of 12m/s at a 30-degree angle above the horizontal. Calculate the horizontal veloc

ity and the initial vertical velocity. [Show all work, including the calculations with substitutions with units.]
Physics
1 answer:
dolphi86 [110]3 years ago
6 0

Answer:

<em>x=10.39 m/s</em>

<em>y = 6 m/s</em>

Explanation:

<u>Components of a Vector</u>

A vector can be expressed in several forms, including the rectangular and the polar form.

The rectangular form uses the x-y coordinates of the vector, being the right and up directions considered as positive.

The polar form uses the magnitude r and the angle it forms with the positive x-direction.

Given the polar form (r,θ), we can calculate the rectangular coordinates as follows:

x=r\cos\theta\\

y=r\sin\theta

The soccer ball is kicked with an initial speed of v=12 m/s and an angle of 30 degrees. Thus the horizontal and vertical components are:

x=12~m/s\cos 30^\circ

x=12~m/s\cdot 0.866

x = 10.39 m/s

y=12~m/s\sin 30^\circ

y=12~m/s\cdot 0.5

y = 6 m/s

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