Constructing a linked journey
Constructing a linked journey
10 marks
TGM Original
A particle has velocity v=6-2t m/s for 0 <= t 6, and starts at the origin. Sketch its displacement–time, distance–time, velocity–time, speed–time and acceleration–time graphs. Label endpoint values and the reversal time. Find the total distance.
Solution:
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Answer:\(s=6t-t^2;\ D=6t-t^2\ (t\le3),\ D=t^2-6t+18\ (t\ge3);\ |v|=|6-2t|;\ a=-2;\ 18\text{ m}\)
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