Question

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

Answer 1

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

$v_{i$ = v cos θ î + v sin θ j

where $v_{i$  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,

$v_{x}$ = v cos θ

$v_{y}$ = 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,

$v_{m}$ = v cos θ j

where, $v_{m}$ is velocity of the soccer ball at maximum height