Lin launches a model rocket that follows a path given by the function y = −0.4t 2 + 3t + 0.5, where y is the height in meters and t is the time in seconds. a. Explain how you can write an equation and then use the discriminant to determine whether Lin's rocket ever reaches a height of 5 meters. b. If Lin's rocket reaches a height of 5 meters, at approximately what time(s) does it do so? If not, what is the rocket's maximum height?