2026 NORTHBROOKS P1 Q25

2026 NORTHBROOKS P1 Q25

Secondary 4
5 marks

The diagram shows the speed-time graph for two objects, A and B, travelling along the same path in the same direction.

Object A travels at a constant speed of \(x\text{ m/s}\).

Object B accelerates for 4 seconds and then travels at a constant speed of 20 m/s.

  1. Calculate the acceleration of B for the first 4 seconds.[1]
  2. Object A and Object B are travelling at the same speed at 3.6 seconds. Find the value of \(x\).[2]
  3. Object A and Object B have travelled the same distance after \(t\) seconds. Find the value of \(t\).[2]

Solution:

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Answer:(a) \(5\text{ m/s}^2\) (b) \(18\) (c) \(20\text{ s}\).

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