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AP Physics C: Mechanics/Unit 1 – Kinematics
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Instantaneous Velocity from Position Function
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A particle moves along a straight line with position function $$x(t) = 3t^3 - 2t^2 + 4t$$, where $$x$$ is in meters and $$t$$ is in seconds. What is the instantaneous velocity of the particle at $$t = 2$$ seconds?

A

28 m/s

B

32 m/s

C

24 m/s

D

20 m/s

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