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(vy / vx)
where vy is the vertical velocity and vx 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.