A student runs from the ground floor to the fourth floor of a school building to collect a book and then comes down to their classroom on the second floor. If the height of each floor is 3 m, find: (i) the total vertical distance travelled, and (ii) their displacement from the starting point.

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Ground floor = 0 m, fourth floor = \(4 \times 3 = 12\ \text{m}\), second floor = \(2 \times 3 = 6\ \text{m}\).

(i) Total vertical distance = up 12 m + down (12 − 6) m = \(12 + 6 = 18\ \text{m}\).

(ii) Displacement = from ground (0) to second floor (6 m) = 6 m upward .

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