Question: Height of a Rocket. The function S(t) = -16t2 + 80t + 224 Gives the height S, in feet, of a model rocket launched with

Height of a Rocket.
The function
S(t) = -16t2 + 80t + 224
Gives the height S, in feet, of a model rocket launched with a velocity of 80 ft/sec from a hill that is 224 ft high, where t is the time, in seconds.
a) Determine when the rocket reaches the ground.
b) On what interval is the height greater than 320 ft?

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