Tangents to a Curve - GCSE Physics

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This video introduces tangents to a curve. This is slightly more complicated than calculating the gradient of a straight line. It involves the same method of calculating the gradient of a straight line but with an extra step.

Sometimes you need to work out the slope at a particular point on a curve:
- Carefully draw a straight line with a ruler that just touches the curve
- Work out the gradient of this straight line in the usual way

Thanks for watching,

Lewis

Relevant for GCSE Physics 9-1 in the following exam boards:
AQA (including Trilogy) (Higher only)
Edexcel (Higher only)
CCEA (not specifically relevant but recommended)
OCR A (Higher only)
OCR B (Higher only)
WJEC (Higher only)
CIE (Cambridge International Examinations) IGCSE (not specifically relevant but recommended)
Edexcel International IGCSE

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Quick and to the point, just how I like it :D Thanks!

skunko
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thanks a lot for this, really helped a lot to understand the idea of tangents.
One question though; would he give me a point in the test and tell me to get the tangent from there or would he tell me to get the gradient of the accelerating line in whole and I'd need to work out the place of that point and the alignment of the tangent? And if so, how exactly do I work out the optimum place for that point?

dr.walaahegazy
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is this for distance and velocity time graphs?

makariousaziz
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How can you ensure your tangent is as accurate as possible ?

zaynaali
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How far should the tangent line extend on the right side to find out the gradient ? should it be as long as the curved line or longer?

sakthishridevis
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How big do we make the tangent? As big as possible?

CaptnCheeze
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I dont understand where to draw my triangle from a tangent

ohfsiwp
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How do I Calculate it after drawing the triangle

malakazzazi