Josh kicks a soccer ball with an initial velocity of 18 feet per second out of a window from a height of 12 feet. The function h(t)= -16t^2+18t+12 represents the height of the soccer ball after t seconds.What is the domain of this function in the context of this problem?

Answer 1

the domain of any polynomial is all real numbers, but in this context, I'd have to say it'd be all reals greater than zero.

Getting even more restrictive, we'd need the height to never be negative, so that would restrict the domain to the interval between 0 and where h(t) = 0.

Find that value for t, and that interval will be the domain.

Answer 2

0 greater or equal to t greater or equal to 1.6