Speed reasoning from a displacement model
Speed reasoning from a displacement model
6 marks
TGM Original
A particle has displacement s=t3-6t2+9t metres for 0 <= t 4 seconds. Determine when its speed increases or decreases and explain what happens to its speed trend at t=2.
Solution:
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Answer:Speed increases on \((1,2),(3,4)\), decreases on \((0,1),(2,3)\), and has a local maximum of \(3\ \mathrm{m\,s^{-1}}\) at \(t=2\) s.
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