2025 NASS PRELIMS P2 Q7

2025 NASS PRELIMS P2 Q7

Secondary 4
9 marks

An aircraft accelerates constantly from rest to 75 m/s in 30 seconds. In an emergency, it decelerates constantly at (5 ext{ m/s}^2) until it stops.

    1. Calculate the acceleration during the first 30 seconds.[1]
    2. Find the time taken to decelerate from 75 m/s to rest.[1]
    3. Sketch the distance–time graph of the entire journey until rest, clearly indicating the distance travelled.[2]
  1. For safety, the take-off decision speed (V_1) is the greatest speed the aircraft may reach before emergency deceleration while still stopping within the runway.
    1. If the aircraft is travelling at 70 m/s, determine whether it can decelerate safely on a 1600 m runway, using the same acceleration and deceleration.[4]
    2. If the runway is wet, explain what happens to (V_1).[1]

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Answer:(a)(i) \(2.5\text{ m/s}^2\) (ii) \(15\text{ s}\) (iii) \(1687.5\text{ m}\) at \(45\text{ s}\) (b)(i) Yes; \(1470\text{ m}\) (ii) \(V_1\) decreases

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