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

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

Step-by-step 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