Respuesta :
a)The velocity of the second runner relative to the first will be 0.8 m/s.
b)The second runner will win.
c) The distance ahead will the winner be when she crosses the finish line will be 55.6 m.
What is velocity?
The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
Given data;
The relative distance between the runner, S = 45.0 m.
The velocity of the front runner,v₁ = 3.45 m/s
The velocity of the second runner,v₂ = 4.25 m/s,
The distance of front runners from the finish line =250 m
The velocity of the second runner relative to the first is,v₂₁=?
The first runner's time to cross the finish line is,t₁
The second runner's time to cross the finish line is recorded,t₂
The distance ahead will the winner be when she crosses the finish line is, S₂₁
a)
The velocity of the second runner relative to the first is found as;
v₂₁ = v₂-v₁
v₂₁ =4.25-3.45
v₂₁ = 0.8 m/s in the runners' direction of travel.
b)
The first runner's time to cross the finish line is;
t₁ = 250/3.45
t₁=72.5 secs.
The second runner's time to cross the finish line is recorded;
t₂=(250+45)/4.25
t₂=69.4 secs.
So, the winner is the second runner.
c)
The winner will be in front when she crosses the finish line by a distance, The second runner travels a distance of within this time.
S₂ = 250+45
S₂=295 m.
The distance ahead will the winner be when she crosses the finish line is;
S₂₁ = 295-239.4
S₂₁=55.6
Hence, the velocity of the second runner relative to the first will be 0.8 m/s, the second runner will win. and the distance ahead will the winner be when she crosses the finish line will be 55.6 m.
To learn more about the velocity, refer to the link: https://brainly.com/question/862972
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