Posted by **Rach** on Sunday, April 1, 2012 at 2:17pm.

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?

- Trig. -
**Steve**, Sunday, April 1, 2012 at 2:26pm
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.

- Trig. -
**Tom**, Sunday, July 28, 2013 at 2:29am
0 greater or equal to t greater or equal to 1.6

## Answer this Question

## Related Questions

- algebra 1b - Arianna kicks a soccer ball off the ground and in the air with an ...
- ALGEBRA...[HELPP!!] - Arianna kicks a soccer ball off the ground and in the air ...
- math - Mariano is standing at the top of a hill when he kicks a soccer ball into...
- math - a baseball is hit with an initial velocity of 75 feet per second from the...
- math - A soccer player kicks a ball and gives it an initial upward velocity of ...
- ap calculus - The height s of a ball, in feet, thrown with an initial velocity ...
- Algebra - word problem - A red ball and a green ball are simultaneously tossed ...
- Algebra - The height of a ball thrown directly up with a velocity of 40 feet per...
- College Algebra - Use the position equation given below, where s represents the ...
- math - The height of a soccer ball that is kicked from the ground can be ...