Suppose the equation h = - 16t2 + 35t models the altitude a football will reach t seconds after it is kicked. Is it possible for the football to reach 16 ft in the air? Justify your answer.

The ball will be able to reach the 16 ft.

Step-by-step explanation:

In order to calculate if the ball will be able to reach that height, we must make "h" equal to 16, if there's a real positive solution, then the ball will be able to reach it.

16 = - 16t² + 35t

16t² - 35t + 16 = 0

t = [ - (-35) + - sqrt ((-35) ² - 4*16*16) ] / (2*16)

t = [35 + - sqrt (1225 - 1024) ]/32

t = [35 + - sqrt (201) ]/32

t = (35 + - 14.177) / 32

t1 = 0.65071875

t2 = 1.5367

The ball will reach that height at 0.65 s and 1.53 s.