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Is this question worded correctly?

Physics Asked by CroCo on January 3, 2021

I’m trying to solve some questions in dynamics and I came across this problem. I’ve attempted to solve it first without looking at the answer but after several attempts, I’ve failed. I’ve looked at the answer and I found out two cases:

  1. the question is poorly worded.

  2. There is hidden details I couldn’t extract from the question.

As you can see from the problem, the question is to determine the distance travelled by car A when they pass each other. The car A first travels with constant acceleration and then travels with constant speed. The author assumes implicitly the car A will pass car B when car A travels with a constant speed. How can I, as a student, infer this from the question?

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One Answer

The following may be useful to consider.

The distance that car A travels during the accelerating portion is computed as $533.33$ ft. During that same amount of time, $13.33$ seconds, car B will have traveled $13.33 times 60 = 799.8$ feet. Since car A and B are 6000 feet apart at $t=0$, then they will still be $6000-799.8-533.33=4666.87$ feet apart after $13.33$ seconds. Therefore, the conclusion must be that they pass each other when car A is in the constant velocity portion.

I hope this helps.

Correct answer by ad2004 on January 3, 2021

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