Math ! will give 20 points!

1. a football is kicked at 40 yards away from a goal post that is 10 feet high. its path is modeled by y = -0.03x 2 + 1.6x, where x is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.

does the football go over the goal post? how far above or below the goal post is the football? use two or more complete sentences to explain your answers. (hint: the unit conversion is built into the given function.)

vertical motion model

the height, h, in feet of a projectile can be modeled by h = -16t 2 + vt + s where t is the time in the air in seconds, v is the initial vertical velocity, and s is the initial height in feet.

2. a ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.

write an equation to model the height of the ball: h = -16t 2 +

complete the table.

time t in seconds 0 0.5 1 1.5 ?
height h in feet ? ? ? ? 0

3. a ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.

is the ball at its maximum height after 1 second? in two or more complete sentences, explain how you know whether or not the ball is at its maximum height.