Finding position given displacement, velocity

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SUMMARY

The discussion centers on a race between a hare and a tortoise over a distance of 3.70 km, with the tortoise moving at a constant speed of 0.900 m/s and the hare at 1.00 m/s for the first 0.800 km before stopping. The key question is determining how close the tortoise can get to the finish line before the hare resumes running, and which animal wins in a photo finish. Kinematic equations are essential for solving this problem, particularly since both animals maintain constant speeds during their respective segments of the race.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of constant speed motion
  • Ability to convert units (e.g., km to m)
  • Familiarity with basic problem-solving strategies in physics
NEXT STEPS
  • Study kinematic equations for constant acceleration and speed
  • Practice problems involving relative motion and race scenarios
  • Learn about unit conversion techniques, particularly for speed and distance
  • Explore concepts of time-distance relationships in physics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding motion dynamics, particularly in competitive scenarios involving constant speeds.

steph35
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Homework Statement


A hare and tortoise compete in a race over a course of 3.70km long. The tortoise crawls straight and steadily at its max speed of .900m/s toward the finish line. The hare runs at its max speed of 1.00m/s toward the goal for .800 km and then stops to taunt the tortoise. Assume that, when moving, both animals move steadily at their respective max speed.


Homework Equations


How close to the goal can the hare let the tortoise approach before resuming the race, which tortoise wins in a photo finish?


The Attempt at a Solution


I drew the picture but couldn't get anywhere. I thought that i would have to use a kinematic equation but not all the givens are given...
 
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You can use kinematic equations. a=0, which should simplify things for you.

Note, for the hare this only works once it starts moving again.
 

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