bill At time t=0 a jogger is running at a velocity of 300 meters per minute. The jogger is slowing down with a negative acceleration that is directly propotional to time t. This brings the jogger to a stop in 10 minutes. a) write an expression for the velocity of the jogger at time t. b) what is the total distance traveled by the jogger in that 10minute interval. Hi Bill,If the velocity function is v(t) and the acceleration function is a(t) then you know a couple of facts. First, since "at time t=0 a jogger is running at a velocity of 300 meters per minute" you know that Since a'(t) = v(t), antidifferentiate a(t) to find v(t) and then use the first fact to evaluate the constant that arises in the antidifferentiation. The constant k can then be evaluated from the fact thet the jogger's velocity is reduced to zero in 10 minutes. Cheers,Harley
