Question

Ryan fires a missile off a cliff toward Metropolis at a height of 240 feet above the city. The height s(t) of the rocket above the ground (in feet) as a function of time (in seconds) can be modeled by the function

s(t) = −16t2 + 32t + 240
Robin is aware of this, so he starts flying to intercept the rocket. The height of

Superman’s flight can be modeled with the equation: h(t) = 48t + 144

Can Superman intercept the missile? If so, when does this happen?

Answer 1