MODELING REAL LIFE A water rocket is launched straight into the air from a height of 6 feet with an initial velocity of 60 feet per second. At the same time, a second water rocket is launched straight into the air from the ground with an initial velocity of 50 feet per second. The polynomials -16t2 + 60t+ 6 and -167 +507 represent the heights (in feet) of the rockets after t seconds. a. Write a polynomial that represents the distance between the heights of the rockets after t seconds.
using feet let g = 32 feet/second
rocket 1
h = Hi + Vi t - (1/2) g t^2
h = 6 + 60 t - 16 t^2
rocket 2
h = 0 + 50 t - 16 t^2
difference = 6 + 10 t