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? 0.75 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 second runner will win. The first runner will win.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 25PQ: Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the...
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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?
0.75
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 second runner will win.
The first runner will win.
(c) What distance (in m) ahead will the winner be when she crosses the finish line?
45.06
xm
Transcribed Image Text: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? 0.75 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 second runner will win. The first runner will win. (c) What distance (in m) ahead will the winner be when she crosses the finish line? 45.06 xm
A ship sets sail from Rotterdam, The Netherlands, heading due north at 6.00 m/s relative to the water. The local ocean,
current is 1.53 m/s in a direction 40° north of east. What is the velocity of the ship in meters per second relative to the
Earth in degrees north of east?
m/s
N of E
Transcribed Image Text:A ship sets sail from Rotterdam, The Netherlands, heading due north at 6.00 m/s relative to the water. The local ocean, current is 1.53 m/s in a direction 40° north of east. What is the velocity of the ship in meters per second relative to the Earth in degrees north of east? m/s N of E
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