1. Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.25 m/s. (a) What is the velocity (in m/s) of the second runner relative to the first?  m/s faster than the front runner (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? The first runner will win.The second runner will win.      (c) What distance (in m) ahead will the winner be when she crosses the finish line?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.25 m/s.

(a)
What is the velocity (in m/s) of the second runner relative to the first?
 m/s faster than the front runner
(b)
If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity?
The first runner will win.The second runner will win.     
(c)
What distance (in m) ahead will the winner be when she crosses the finish line?
 
2. 
A woman starts to swim directly across a 5.6-km-wide river. Her speed with respect to the water is 1.3 m/s. The river current carries the woman downstream at a speed of 0.91 m/s.
(a)
How much time, in seconds, does it take her to cross the river?
(b)
How far downstream, in meters, will the river carry her by the time she reaches the other side of the river?
 
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