Question

At the end of the 2nd down, the football is on the 20-yard line. The quarterback throws the ball and it is caught at the 45-yard line. What is the distance that the ball traveled?

Group of answer choices
65
45
20
25

Answer 1

The calculation of the initial velocity of a football thrown by a moving quarterback involves applying kinematic equations of projectile motion, considering both the angle of throw and the backward speed of the quarterback.

Step-by-step explanation:

The student is asking about the calculation of the initial velocity of the football when thrown by a quarterback who is moving backward. To solve this problem, we need to apply the principles of projectile motion. The quarterback is moving backward at a speed of 2.00 m/s and throws the ball at an angle of 25.0° with the horizontal. The ball needs to travel 18.0 m downfield. Since the ball is caught at the same height as it was released, we can use the horizontal motion to find the initial velocity relative to the quarterback.

Unfortunately, without access to the relevant equations and not enough information provided (i.e., the time of flight or the final velocity of the ball), we cannot calculate the initial speed of the football directly from the information given. This calculation would typically involve breaking down the motion into its horizontal and vertical components and applying kinematic equations.