## anonymous one year ago While visiting the Planet Janet, Garrett tosses a baseball up into the air from ground level at an initial velocity of 32 feet per second. The distance the ball is from the ground, S(t) , can be modeled by the function:

1. anonymous

2. anonymous

lol no it can't but that is ok, you are supposed to use $h(t)=-8t^2+32t$

3. anonymous

$V_0=32$ you are told, and ground level means $$h_0=0$$

4. anonymous

is there another part to this?

5. anonymous

oh yeah sorry "how long does it take to reach maximum height?"

6. anonymous

oh ok, that is at the vertex

7. anonymous

vertex is always $$-\frac{b}{2a}$$ which in your case is $-\frac{32}{2\times (-8)}$

8. anonymous

aka 2

9. anonymous

gotcha... so it'd be 2 seconds?

10. anonymous

yup

11. anonymous

thanks love.. i might have another question soon :)

12. anonymous

kk