Acceleration in one dimension

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SUMMARY

In the discussion regarding the motion of two cars, C and D, it is established that car D, which is initially ahead, can still close the distance to car C despite C slowing down and D speeding up. This scenario is possible when the initial speed of car D is significantly greater than that of car C, allowing D to accelerate and reduce the gap. An example provided illustrates that if car D starts at a higher velocity, its acceleration can overcome the deceleration of car C, resulting in a decreasing distance between the two vehicles.

PREREQUISITES
  • Understanding of basic kinematics principles
  • Familiarity with concepts of acceleration and deceleration
  • Knowledge of relative motion in one-dimensional space
  • Ability to analyze motion graphs and equations
NEXT STEPS
  • Study the equations of motion for uniformly accelerated objects
  • Explore relative velocity concepts in one-dimensional motion
  • Learn about graphical representations of motion, including velocity-time graphs
  • Investigate real-world applications of acceleration in automotive dynamics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of motion and acceleration in one-dimensional systems.

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Homework Statement


"2 cars C and D travel in the same direction in straight line. During particular time interval t, car D is AHEAD of car C, and D is speeding up while car C is slowing down. During the interval t, it is observed that the distance between the cars decreases. Explain how this is possible and give an example."

Homework Equations




The Attempt at a Solution



I don't see how this is possible. If Car C is slowing down, and Car D is speeding up, and same direction, how can the distance between them possible decrease?
 
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Consider a case where the speeds are initially different.
 
The velocity or starting positions could be initially different
 

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