1. A consumer magazine tested two kinds of engines. One was a standard

engine, and it was determined that its acceleration could be modeled by

f (t) = 6 + .7t feet per square second, t seconds after starting from rest. The acceleration of the turbo-charged model could be approximated by

g(t) = 6 + 6.1 t + .05 t^2 feet per square second, t seconds after starting

from rest. How much faster is the turbo-charged model moving than the standard model at the end of a 10 second trial?