Differentiating Vectors (Leaving Cert Applied Maths): Flashcards

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Differentiating Vectors
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What is vector differentiation?

Finding how vectors change with respect to time

How to differentiate vector components (iˉ\bar{i} and jˉ\bar{j})

Differentiate each component separately

Differentiating displacement vector gives

Velocity vector

Differentiating velocity vector gives

Acceleration vector

Speed definition

Magnitude of velocity vector

Magnitude of aiˉ+bjˉa\bar{i} + b\bar{j}

a2+b2\sqrt{a^2 + b^2}

When to substitute values in differentiation

After differentiating, not before

Units of displacement

m

Units of velocity

m/s

Units of acceleration

m/s²

Speed is always...

Positive

Velocity can be...

Negative or positive

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