Mechanics Example 4: Calculating Total Distance of a Multi-Step Journey

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  1. Eddie Woo
  2. math
  3. maths
  4. mathematics
  5. Distance
  6. Mechanics (Field Of Study)
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I reckon that since you have a v-t graph for this question, you can use the idea of (area under v-t) = (change in displacement) to simplify the working in sections 2 and 3.

I haven't worked this question out myself, but it seems to me from the 'a' equation that the acceleration will be zero when t = 3. Surely, therefore, that's the first critical time? You worked it out via velocity and got t=2, 4. I don't doubt the correctness of your working, I just wonder whether there's a problem with the question: an instantaneous jump in velocity.

Or perhaps I've misinterpreted the question. Sorry if my comments don't make any sense!

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