Calculate the vertical component of the launch velocity in a football game

What is the vertical component of the launch velocity in a football game?

The vertical component of the launch velocity is 16.56 m/s.

In a football game at the UNT's Apogee Stadium, a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.23 s, during which time it experiences an acceleration of 72 m/s2. The ball is launched at an angle of 30° above the ground.

To determine the vertical component of the launch velocity, we can use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

Since the ball is launched at an angle of 30° above the ground, the initial velocity can be broken down into horizontal and vertical components. We are interested in the vertical component.

Let's assume the initial vertical velocity is uy.

Using the equation v = u + at, we can write:

vy = uy + at

Since the ball is launched vertically, the initial vertical velocity (uy) is 0 m/s.

Plugging in the values, we have:

vy = 0 + (72 m/s2)(0.23 s)

Simplifying the equation, we get:

vy = 16.56 m/s

Therefore, the vertical component of the launch velocity is 16.56 m/s.