Question: Starting at the same time and place, Abe and Bob race, running at velocities u(t) = 4/(t + 1) mi/hr and v(t) = 4e -t/2

Starting at the same time and place, Abe and Bob race, running at velocities u(t) = 4/(t + 1) mi/hr and v(t) = 4e-t/2 mi/hr, respectively, for t ≥ 0. 

a. Who is ahead after t = 5 hr? After t = 10 hr?

b. Find and graph the position functions of both runners. Which runner can run only a finite distance in an unlimited amount of time?

Step by Step Solution

3.37 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a After 5 hours Abe has run So 11 dt 4 lnt1 4 ln 6 717 miles After 5 hours Bob has 1 f 4et ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus Early Transcendentals Questions!