Final answer:
To determine if the ball hits the bottom edge of the window, we use kinematic equations to calculate projectile motion and solve for the initial velocity using the time it takes to pass the window. The velocity of the ball at the bottom edge of the window is used to find the initial launch velocity.
Step-by-step explanation:
To determine if the ball is hitting the bottom edge of the window, we can use kinematic equations that describe projectile motion under gravity. Assuming no air resistance and taking the downward direction as negative, we would use the second equation of motion: v = u + at, where v is the final velocity, u is the initial velocity, a is acceleration due to gravity (which is -9.81 m/s²), and t is the time taken.
Given that the ball passes a 2.00-m-high window that is 7.50 m off the ground and takes 0.312 seconds to go past the window, first, we solve for the velocity of the ball at the bottom edge of the window using the distance covered along the window. With this velocity as the final velocity (v), the initial velocity (u) when it was launched can be calculated by considering the distance from the ground to the bottom edge of the window.