Question

A player kicks a football from ground level with an initial velocity of 27 m/s, 20.0 degrees above the horizontal. How would you calculate the horizontal and vertical components of the initial velocity?

Answer 1

To calculate the horizontal and vertical components of a football's initial velocity kicked at 20 degrees, use the cosine and sine functions, respectively, with the initial velocity of 27 m/s.

Step-by-step explanation:

The question asks about calculating the horizontal and vertical components of the initial velocity when a player kicks a football. To solve this, you can use trigonometric functions derived from the angle of the initial velocity vector. The horizontal component (Vx) is found by multiplying the initial velocity by the cosine of the angle, while the vertical component (Vy) is found by multiplying the initial velocity by the sine of the angle.

For an initial velocity of 27 m/s at a 20.0 degrees angle above the horizontal:

• Vx = 27 m/s * cos(20.0 degrees)
• Vy = 27 m/s * sin(20.0 degrees)