Question

Rohit throws a football from the top of the stadium to the ground below. The path of the ball can be modeled by the equation , where represents the time (in seconds) after the ball is

thrown and represents the height of the ball above the ground (in feet)

Answer 1

The question involves projectile motion, finding time, and determining launch angle.

Step-by-step explanation:

Projectile Motion

To determine the time it takes for the ball to reach the spectator, we can use the quadratic formula with the equation provided. The positive solution is taken since time starts at t = 0 when the ball is released. Using Equation 3.15, we can find the angle at which Aaron needs to launch the ball.

The horizontal and vertical motions of the ball can be treated independently, allowing us to solve for the desired quantities. The graph of the ball's horizontal velocity vs. time and vertical velocity vs. time can be plotted to visualize its motion.

Answer Summary:

The question is about projectile motion and finding the time it takes for a ball to reach a certain point. It also involves determining the angle at which the ball needs to be launched for it to be at the same height as the receiver.

The concepts of quadratic equations, graphing, and independent motion are used to solve the problem.