Part C: Another object moves in the air along the path of g(t) = 31 + 32.2t where g(t) is the height, in feet, of the object from the ground at time t seconds.

Use a table to find the approximate solution to the equation H(t) = g(t) and explain what the solution represents in the context of the problem? H(t)=-16t^2 + 80t + 96
g(t) = 31 + 32.2t

Question

Part C: Another object moves in the air along the path of g(t) = 31 + 32.2t where g(t) is the height, in feet, of the object from the ground at time t seconds.

Use a table to find the approximate solution to the equation H(t) = g(t) and explain what the solution represents in the context of the problem? H(t)=-16t^2 + 80t + 96 
g(t) = 31 + 32.2t

anonymous · Answer

I really need help

anonymous · Answer

i'm not sure about the table
but if you want, you can solve it algebraically to  find the solutions
H(t) = g(t)
$-16t^2 + 80t + 96 = 31 + 32.2t $
$-16t^2 + 80t - 32.2t + 96 - 31=0$
$-16t^2 + 47.8t + 65=0$
then use the quadratic formula to solve for the values of t
$\Large t=\frac{ -b \pm \sqrt{b^2-4ac} }{2a}$ where a=-16, b=47.8, c=65

anonymous · Answer

I got -.83 and .14 is that right?

anonymous · Answer

Do H(t) and g(t) intersect when the projectile is going up or down and how do you know?

anonymous · Answer

they will intersect at two points, since there's a solution when you set H(t)=g(t)

and for the the value of "t"
i got a different answer
t is approximately 4.002 and -1.015

anonymous · Answer

sorry late response, i'm away from my keyboard awhile ago

anonymous · Answer

so where will they intersect?

anonymous · Answer

when H(t)=G(t)
which means that the values for "t" that you just found out