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

Question

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

The doctor · Accepted Answer

Thank you

Steve · Answer

well, the max height is found at (6.25,625) So, as long as he's not too far away when he tries to leap over the building, yes, he'll make it (as long as the building is sufficiently narrow).

Anonymous · Answer

A stone is thrown straight up, with an initial velocity of 20 meters per second and from an initial height of 2 meters. The height h of the stone after t seconds is described by the function: h(t) = 2 + 20t - 4.9t2. What is the stone’s average speed during the first two seconds of its flight?