Question

Projectile Motion Practice Problems (horizontal and at an angle)

1. Josh kicks a soccer ball with a velocity of 15 m/s at an angle of 38° above the
horizontal.
a. What are the X and Y components of his velocity?
b. How long is the ball in the air?
c. How far will the ball go?

Answer 1

Step-by-step explanation:

a. The X and Y components of the velocity can be found using trigonometry:

X = V * cos(θ) = 15 m/s * cos(38°) ≈ 11.63 m/s

Y = V * sin(θ) = 15 m/s * sin(38°) ≈ 9.14 m/s

b. The time the ball is in the air can be found using the Y component of the velocity and the acceleration due to gravity:

Y = V * sin(θ) * t - (1/2) * g * t^2

where g = 9.8 m/s^2 is the acceleration due to gravity

Solving for t, we get:

t = 2 * Y / g ≈ 1.87 s

c. The distance the ball travels can be found using the X component of the velocity and the time in the air:

distance = X * time = 11.63 m/s * 1.87 s ≈ 21.78 m