Q123 · Practice questionTechnology-freeComplex familiar5 marks
QUESTION 123 (5 marks)
A particle has acceleration , with and .
a)[2 marks]
Find and .
b)[1 mark]
Find the positive times when the particle is at rest.
c)[2 marks]
Find the displacement between the first and second rest times, if both exist.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
Substitute the two times into . Using symbolic simplification, displacement , so signed displacement is .
Worked solution
Part (a): ; .
Part (b): , both positive.
Part (c): Substitute the two times into . Using symbolic simplification, displacement , so signed displacement is .
Part (a): completes the requested reasoning and obtains a correct result.
Part (b): completes the requested reasoning and obtains a correct result.
Part (c): completes the requested reasoning and obtains a correct result.
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