Openstax College Physics Openstax Mapco presented by Sapling Learning Near the e

Question

Openstax College Physics Openstax Mapco presented by Sapling Learning Near the end of a marathon race, the first two runners are separated by a distar vniner hats taevrelociry of 3 25 mis and the second a velocity of 4.75 mis. What is the magnitude of the velocity of the second runner relative to the first? Number 1.5 m/s t runner is 215 m from the finish line, who will win the race, assuming they run at constant velocity? O Second runner Both runners cross the finish line at the same time O Front runner By what distance does the winning runner finish ahead of the next runner? Number Tools x 10 Hint Previous Check Answer Next Exit

Explanation / Answer

a) magnitude of velocity of 2nd runner

= 4.75 - 3.25

= 1.5 m/s

b) t1 = 215 / 3.25 = 66.15 s

t2 = (215 + 35) / 4.75 = 52.63 s

t2 < t1

second runner will win

c) S1 = 3.25 * 52.63 = 171 m

distance d = 215 - 171

distance = 44 m

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