You throw a tennis ball up in the air from an initial height of 4 feet and an initial velocity of 36 feet per

second. Will the ball reach a height of 30 feet? If so, how long will it take?

1 answer

you should know that
height = -16t^2 + 36t + 4

so 30 = -16t^2 + 36t + 4
16t^2 - 36t + 26 = 0
8t^2 - 18t + 13 = 0
use the quadratic equation to solve for t
( you should get an imaginary root, so the ball never reaches a height of 30 feet)