Solve Horse Race Problem: Distance from A to B & Position at C

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SUMMARY

The discussion centers on solving a physics problem involving two horses racing from point A to point C, with specific velocities and elapsed times. Horse 1 has a velocity of 6.8 m/s and finishes the 400 m race in 61.5 seconds, while Horse 2 has a velocity of 7 m/s and finishes in 62 seconds. The problem requires calculating the distance from A to B and the position of Horse 1 relative to Horse 2 at the finish line, utilizing concepts of uniform acceleration and displacement.

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  • Knowledge of velocity, acceleration, and displacement relationships
  • Familiarity with basic algebra for solving equations
  • Concept of relative motion in physics
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bathtubbuddy
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So i got this little problem for homework i honestly don't know how to start figuring anything out... but please can i get a hint? xD

A______________________________B___________________C
|--------------Xb=?----------------|
|----------------------------400 m------------------------|

In a close harness race, horse 2 passes horse 1 at point A, where the two velocities are V2=7m/s and V1=6.8 m/s. Horse 1 later passes horse 2 at point B and goes on to win the race at point C, 400m from A, (From A to C). The elapsed times from A to C for horse 1 and horse 2 are T1=61.5sec and T2=62sec, respectively. Assuming uniform accelerations for both horses between A and C. Determine:
a)Distance from A to B
b)The position of horse 1 relative to horse 2 when horse 1 reaches the finish line C.
 
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Hey bathtubbuddy and welcome to the forums.

Here is one hint: how do you represent displacement in terms of velocity and velocity in terms of acceleration?
 

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