A superhero is trying to leap over a tall building. The function f(x)= -16x^2 + 200x gives the superhero's height in feet as a function of time. The building is 612 feet high will the super hero make it over the building?

Answer 1

Since you give no indication of a horizontal speed, I don't see how just jumping up and down will get him over the building. However, his maximum height will be at x=200/32=6.25, so plug that in and see whether it is high enough.

I suspect that you meant the f(x) gives the height at distance x from his starting point. Still, depending on how far away he jumped, he still might not make it over the building.