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:

Question

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:

anonymous · Answer

attachment

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

is there another part to this?

anonymous · Answer

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

anonymous · Answer

oh ok, that is at the vertex

anonymous · Answer

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

anonymous · Answer

aka 2

anonymous · Answer

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

anonymous · Answer

yup

anonymous · Answer

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

anonymous · Answer

kk