14. NASA launches a rocket at t = 0 minutes. Its height, H, in meters above sea level as a function of time t, is modelled by the function H(t) = 10t^2 + 40t + 2960, where t is the number of minutes after the rocket is launched. We assume the rocket will splash down into the ocean. a. Find the maximum height the rocket can reach. b. How many seconds will it take for the rocket to splash down the ocean?