Flight Time and Initial Velocity of a Kicked Football

What is the flight time of the ball and the magnitude of the initial velocity of the ball?

How can we calculate the flight time of the ball and the magnitude of the initial velocity?

Flight Time and Initial Velocity Calculation:

The flight time of the ball can be found using the equation t = 2v/g, where v is the initial velocity and g is the acceleration due to gravity. The magnitude of the initial velocity can be found using the equation v = sqrt(2gh), where h is the maximum height reached by the ball.

Flight Time Calculation:

To find the flight time of the ball, we can use the equation t = 2v/g, where t is the flight time, v is the initial velocity, and g is the acceleration due to gravity. Plugging in the given values, we get t = 2(55 m/s)/9.8 m/s^2, which simplifies to t = 11.22 seconds.

Initial Velocity Calculation:

To find the magnitude of the initial velocity, we can use the equation v = sqrt(2gh), where v is the initial velocity, g is the acceleration due to gravity, and h is the maximum height reached by the ball. In this case, the maximum height is given as 20 meters. Plugging in the values, we get v = sqrt(2 * 9.8 m/s^2 * 20 m). Simplifying this equation, we find that the magnitude of the initial velocity is approximately 19.8 m/s.

In summary, the flight time of the ball is approximately 11.22 seconds, and the magnitude of the initial velocity is approximately 19.8 m/s.