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AP Physics C: Mechanics/Unit 1 – Kinematics
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Displacement from Vector Acceleration

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The acceleration of a particle is given by the vector function a(t)=2i^+6tj^+4t2k^\mathbf{a}(t) = 2\hat{i} + 6t\hat{j} + 4t^2\hat{k} m/s². If the particle starts from rest at the origin, what is the ratio of its z-displacement to its x-displacement at time $t = 3$ s?

A

2

B

1

C

3

D

6

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