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SingaporeMathsQuick questions

Functions and Graphs

Quick questions on Gradient and area under graphs explained: O-Level E-Maths

6short 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 distance-time graphs?
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On a distance-time graph, the gradient is the speed:
What are speed-time graphs?
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On a speed-time graph, the gradient is the acceleration:
What is keeping units consistent?
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Convert all times and distances to consistent units before reading gradients or areas, usually seconds and metres so that speed is in metres per second. Mixing minutes and seconds is a frequent source of error.
What is q1?
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A distance-time graph rises from 0 m0\ \text{m} to 90 m90\ \text{m} over 30 s30\ \text{s} in a straight line. Find the speed. [2 marks]
What is q2?
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A speed-time graph shows constant speed 12 m/s12\ \text{m/s} for 15 s15\ \text{s}. Find the distance travelled. [2 marks]
What is q3?
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On a speed-time graph, a line rises from 00 to 18 m/s18\ \text{m/s} in 6 s6\ \text{s}. Find the acceleration. [2 marks]

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