A sprinter knows that starting with an initial burst of speed gives her a velocity over time, t, of v(t) = 3.5t + 0.25t2 meters per second. If she saves her energy for the end of the race, she runs with a velocity of v(t) = 1.2t + 0.03t2. Which strategy will cover the greatest distance in a given time?
( Hint: Distance is the integral of velocity. )

a.Insufficient information is given to compute the distances in each case.
b.She covers more distance in time, t, by starting with a burst of speed.

Question

A sprinter knows that starting with an initial burst of speed gives her a velocity over time, t, of v(t) = 3.5t + 0.25t2 meters per second. If she saves her energy for the end of the race, she runs with a velocity of v(t) = 1.2t + 0.03t2.  Which strategy will cover the greatest distance in a given time?
( Hint: Distance is the integral of velocity. )

a.Insufficient information is given to compute the distances in each case.
b.She covers more distance in time, t, by starting with a burst of speed.