Year 12 Specialist (Unit 3 & 4)
Vector calculus
Velocity and acceleration for motion along a curve
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Questions
Question 1
163000
The position of a particle at time \(t\) is given by \(r(t)=2 t^2 \, i - (1+3 t) \, j\) for \(t \geq 0\). Find:
i) the velocity of at time \(t\).
ii) the acceleration at time \(t\).
iii) the average velocity for the first second.
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