A tennis ball is hit with a resultant velocity of 70 m/s^-1 at 20 degrees. What are the vertical and horizontal velocities?
To find the vertical and horizontal velocities of the tennis ball, we can use trigonometric functions.
First, let's break down the initial velocity of the ball into its vertical and horizontal components. The vertical velocity (Vy) will be equal to the initial velocity (70 m/s) multiplied by the sine of the angle (20 degrees):
Vy = 70 m/s * sin(20 degrees)
We can calculate the horizontal velocity (Vx) by multiplying the initial velocity (70 m/s) by the cosine of the angle (20 degrees):
Vx = 70 m/s * cos(20 degrees)
Using a scientific calculator or a trigonometric table, we can find that the sine of 20 degrees is approximately 0.342 and the cosine of 20 degrees is approximately 0.940.
Therefore, the vertical velocity (Vy) will be:
Vy = 70 m/s * 0.342
Vy ≈ 23.96 m/s
The horizontal velocity (Vx) will be:
Vx = 70 m/s * 0.940
Vx ≈ 65.8 m/s
So, the vertical velocity of the tennis ball is approximately 23.96 m/s, and the horizontal velocity is approximately 65.8 m/s.