help me pleaseee!!!

Question

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t^2 + 64t + 4, where t is measured in seconds and h is the height in feet. Use this information to answer the following questions .

what domain makes sense for the function?

Answer 1

-16t^2 +64t + 4 = 0

-4t^2 + 16t + 1 = 0

t = -16/-8 + or - (1/-8)sqr(16^2+16)

=2 +(4/8)sqr17= 2+(1/2)sqr17

domain is t=0 to t= 2+(sqr17)/2 or about 0 to 4.06 seconds

at slightly over 4 seconds, the ball hits the ground