Differentiating Vectors (Leaving Cert Applied Maths): Quizzes

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Differentiating Vectors
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12 questions from this quiz

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What is the key principle when differentiating vectors?

Differentiate each component separately

How many steps are in the systematic vector differentiation process?

Four

What do you get when you differentiate the displacement vector?

Velocity vector

What do you get when you differentiate the velocity vector?

Acceleration vector

What is speed in relation to velocity?

The magnitude of velocity vector

What is the magnitude of vector 3iˉ+4jˉ3\bar{i} + 4\bar{j}?

5

Can speed be negative?

No, it's always positive

If sˉ=2t3iˉ+5t2jˉ\bar{s} = 2t^3\bar{i} + 5t^2\bar{j}, what is velocity vˉ\bar{v}?

6t2iˉ+10tjˉ6t^2\bar{i} + 10t\bar{j}

If vˉ=6tiˉ−8tjˉ\bar{v} = 6t\bar{i} - 8t\bar{j}, what is aˉ\bar{a}?

6iˉ−8jˉ6\bar{i} - 8\bar{j}

What is the magnitude of 8iˉ−15jˉ8\bar{i} - 15\bar{j}?

17

When should you substitute time values in differentiation problems?

After differentiating

What are the units for acceleration?

m/s²

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