Acceleration in one dimension

AI Thread Summary
In the scenario where car D is ahead of car C, the distance between them can decrease even if car C is slowing down and car D is speeding up, provided that car D's acceleration is greater than the rate at which car C is decelerating. For example, if car D starts with a higher speed and accelerates faster than car C decelerates, it can still close the gap. This situation is contingent on the initial speeds and positions of both cars. An example could involve car D starting at 60 mph and accelerating at 10 mph, while car C starts at 50 mph and decelerates at 5 mph. Thus, the dynamics of their speeds and accelerations allow for the distance to decrease despite the opposing changes in their velocities.
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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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