A player kicks a soccer ball in a high arc toward the opponent's goal. When the soccer ball reaches its maximum height, how does its speed at this point compare to its initial speed

Respuesta :

Answer:

The speed of the soccer ball at height point is less than its initial speed

Explanation:

The initial velocity of the soccer can be written in vector form as

[tex]v_{i[/tex] = v cos θ î + v sin θ j

where [tex]v_{i[/tex]  is initial velocity of the ball

           v is the initial speed of the ball

Assume soccer ball is kicked at an angle θ with an horizontal and initial speed vm/s. Its horizontal component will be as,

[tex]v_{x}[/tex] = v cos θ

[tex]v_{y}[/tex] = v sin θ

At the maximum height, the vertical component becomes zero. therefore, the velocity of the soccer at the maximum point can be written as,

[tex]v_{m}[/tex] = v cos θ j

where, [tex]v_{m}[/tex] is velocity of the soccer ball at maximum height