Question

Near the end of a marathon race, the first two runners are separated by a distance of
35.0
m
. The front runner has a velocity of
3.25
m/s
, and the second runner has a velocity of
4.75
m/s
. What is the magnitude of the velocity of the second runner relative to the first?
velocity of the second runner relative to the first:

m
/
s

If the front runner is
215
m
from the finish line, who will win the race, assuming both runners run at constant velocity?

second runner

front runner

Both runners cross the finish line at the same time.
By what distance does the winning runner finish ahead of the next runner?
distance:

Answer 1

Answer:

a) 4.75-3.25 = 1.50 m/s

b) Time taken to overtake = 65/1.5 = 43.33 seconds

first runner will finish the race in 215/3.25 = 66.15 seconds

So second runner will win the race

ANSWER

c) 65 +215 = 280m

280 / 4.75 = 58.95 seconds

first runner will complete 58.95 X 3.25 = 191.5875 m

So 215-191.5875=23.4125 meters ahead