Question

A football is thrown from one player to another. What is the special name of the y-coordinate at the vertex?

Answer 1

The initial velocity of the football relative to the quarterback is determined by calculating the horizontal and vertical components of the ball's throw, adjusting the horizontal component by subtracting the quarterback's reverse speed, and combining the two components into the resultant initial velocity using the Pythagorean theorem.

Step-by-step explanation:

The question is asking about the initial velocity of the football relative to the quarterback when the quarterback is moving backward and throws the ball. To find the initial velocity of the ball relative to the quarterback, we need to take into account the quarterback's backward motion. This is a physics problem that involves relative motion in two dimensions.

Since the quarterback is moving backward at 2.00 m/s, and the football is thrown at an angle of 25.0° relative to the ground, we can decompose the throw into horizontal and vertical components and then adjust for the quarterback's movement.

Let's denote the initial velocity of the ball as v, with vertical and horizontal components vy and vx respectively. The horizontal velocity of the ball relative to the ground would be vx minus the quarterback's speed.

To determine the initial velocity of the football relative to the quarterback, we would use the following steps:

1. Calculate the horizontal and vertical components of the football's initial velocity using trigonometric functions, taking into account the angle of the throw.
2. Adjust the horizontal component by subtracting the quarterback's own velocity to get the relative horizontal velocity.
3. Combine the vertical component and the adjusted horizontal component using the Pythagorean theorem to find the resultant initial velocity of the football relative to the quarterback.

Unfortunately, without knowing the initial speed with which the ball is thrown, we cannot provide numerical solutions for the initial velocity relative to the quarterback. Additional information or relevant formulae that relate to the horizontal distance traveled by the ball or the time it was in the air would be needed.