A pointer reverses direction
8 written marks
A pointer of length \(0.4\) m starts along the positive horizontal ray. It rotates anticlockwise at \(210^\circ\) per second for \(9\) seconds. It then immediately rotates clockwise at the same angular speed for \(3\) seconds.
Part a · 3 marks
For the first stage, find the total swept angle in radians, the number of complete revolutions and the final direction in \([0,2\pi)\).
Part b · 2 marks
Find the exact distance travelled by the tip during the first stage.
Part c · 3 marks
Find the total tip distance over both stages and its final direction, measured anticlockwise in \([0,2\pi)\).
Complete-answer checking, worked solutions and indicative written criteria.
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