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M4U-9709-IN26-E-AC028 marks

E-AC02 · Two reversals of motion

A particle moves along a line with velocity \(v(t)=t^2-6t+8\) m/s, for \(0\le t\le5\). Its initial position is 1 m.

Find the times when the particle reverses direction, and state the sign of v between these times.

[2]

Find the displacement and final position.

[3]

Find the total distance travelled.

[3]

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