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.

Henry · Answer

Vo = 200 Ft/s = Initial velocity. g = 2*(-16) = -32 Ft/s^2. hmax = (V^2-Vo^2)/2g = (0-(200)^2)/-64 = 625 Ft. Yes, because his max. ht. is greater than the ht. of the building.