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SingaporeAdditional MathematicsQuick questions

Kinematics

Quick questions on Displacement, velocity and acceleration explained: O-Level A-Maths

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are reading the graphs?
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On a displacement-time graph, the gradient is the velocity. On a velocity-time graph, the gradient is the acceleration and the area under the graph is the displacement. A horizontal displacement-time graph means the particle is at rest; a velocity-time graph crossing the axis marks a change of direction.
What is q1?
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A particle has s=5t−t2s = 5t - t^2. Find its velocity at t=2t = 2. [2 marks]
What is q2?
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State what v=0v = 0 tells you about the motion. [1 mark]
What is q3?
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A particle has v=t2−4v = t^2 - 4. Find the acceleration when t=3t = 3. [2 marks]

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