This example isnt the best example because i know how to graph this one, essentially the motion questions where i have to graph the velocity as part of it, also for part V for questions like that when would i know i would have to integrate or i can use t = 0;x=2 , t=1;x=4 etc
Thanks again !
Still not sure what the problem is. If you're given the equation then like you said, you basically know how to draw it.
You need to further clarify exactly what you mean by "you don't know how to sketch it". If you're given the actual equation of the velocity, you will virtually always know when and how to sketch it.
That one is basically sketching y=3x
2-9x+6 except with y switched for v and x switched for t
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Part (v) can be made slightly easier with the answer to part (i). The idea is that the displacement takes into account direction, but the distance does not. So you need to watch out for whenever the particle
turns around.
Of course, you CAN use integration for part (v). You just don't need to.
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Also, if that is a past HSC question, consider
checking worked solutions.