The function H(t) = -16t^2 + vt + s shows the height H(t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second.

A: What is the maximum height that the projectile will reach? Show your work

B: Another object moves in the air along the path of g(t) = 10 + 63.8t where g(t) is the height, in feet, of the object from the ground at time t seconds.

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

Question

The function H(t) = -16t^2 + vt + s shows the height H(t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second.

A: What is the maximum height that the projectile will reach? Show your work

B: Another object moves in the air along the path of g(t) = 10 + 63.8t where g(t) is the height, in feet, of the object from the ground at time t seconds.

C: Do H(t) and g(t) intersect when the projectile is going up or down and how do you know?

anonymous · Answer

I think I can find A on my own, but I need help with  b and c

sw050399 · Answer

What's b asking? And what's the equation? It looks like a typo from my perspective.

anonymous · Answer

The equation is h(t) = -16t^2 + 82t + 82

anonymous · Answer

For B I have to 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 [Use the function H(t) obtained in Part A and estimate using integer values]

anonymous · Answer

Wait, the equation is h(t) = -16^2 + 60t + 82

sw050399 · Answer

Did they give you a table? If so just look where they have the same coordinates. If not you could graph it and see where they intersect (are you allowed to use a calculator?).

anonymous · Answer

I found the maximum height 97.5