What is the initial angle of the ball with respect to the ground?

The Initial Angle of the Ball with Respect to the Ground

A ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10 m/s. The initial angle θ of the ball with respect to the ground is approximately 33.7 degrees.

Initial Velocities:

- Horizontal Velocity: 16 m/s

- Vertical Velocity: 10 m/s

The trajectory of the ball can be broken down into two components: the horizontal component and the vertical component.

Horizontal Component:

The horizontal component is constant and remains at 16 m/s throughout the flight of the ball.

Vertical Component:

The vertical component is subject to the acceleration due to gravity, which causes it to decrease over time.

Using the trigonometric formula for the angle of a vector, we can find the angle θ:

θ = arctan(v_y / v_x)

where v_y is the vertical velocity and v_x is the horizontal velocity. Substituting the given values, we get:

θ = arctan(10 / 16) = 33.7 degrees

Therefore, the initial angle of the ball with respect to the ground is approximately 33.7 degrees.

a ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10 m/s. what is the initial angle θ of the ball with respect to the ground?

The initial angle θ of the ball with respect to the ground is approximately 33.7 degrees.