Final answer:
The peak height of the football can be calculated using gravitational potential energy, with initial conditions of h = 0.5 m and an initial velocity of 0 m/s.
Step-by-step explanation:
To find the peak height of the football, you must understand the principles of projectile motion. Based on the given details, the football rises and then falls to a position 10.0 m higher than its starting altitude. To find the peak height, we can use the information that the change in height going from point A to point B is h = 0.5 m and that the ball is released from point A with a velocity of VA = 0 m/s. Using the concept of gravitational potential energy (mgh), the initial height when the girl shoots for the goal is h (1.7 + 0.5) = 2.2 m. This suggests we should apply an equation from kinematics or energy conservation to find the peak height. Assuming we neglect air resistance and using gravitational potential energy, the peak height h can be found by taking the initial height and adding the additional height the ball traveled due to its initial velocity and the acceleration due to gravity.