Q1.)

The Salt Lake City triathlon consists of 3 phases, a 3.8km swim, 180km bike ride, and a 42.2km run. A competitor swims at a steady speed of 4.47km/h, cycles at a steady speed of 36km/h, and

runs the final leg at a average steady speed of 11.25km/h.

(a)Assuming no time is lost in any of the transitions, develop a piecewise function that will give you the athlete's distance coveredD(t) in kilometres in terms oft, theelapsed timein hours from the beginning of the race.

(b)8.5 hours after beginning the race, what phase of the triathlon was the athlete in, and how far had they gone in this phase?