Question

in projectile motion problems where the projectile height h is modeled by

the equation h=-16t²+vt+s, where t is the time in seconds the object

has been in the air, v is the initial vertical velocity in feet per second, and s is

the initial height in feet. The -16 coefficient in front of the t² term refers to

the effect of gravity on the object.

A baseball field is next to a building that is 130 feet tall.

A series of batters hit pitched balls into the air with the given initial vertical velocities. (Assume each ball is hit from a height of 3 feet.) in the table below

After the game, a fan reports that several hits resulted in the ball hitting the roof of the building. How can you use the discriminant to determine whether any of the hits described below could be among them? Explain. If any of the balls hit the roof, identify them. Can you tell if the ball did hit the roof?

Answer 1