APFIVE Centripetal Acceleration from Position Vector
A particle’s position is given by \( \vec{r} = (3\cos(2t))\hat{i} + (3\sin(2t))\hat{j} \) where \( r \) is in meters and \( t \) is in seconds. What is the magnitude of the centripetal acceleration at \( t = \pi/4 \) seconds?
A
24 m/s²
B
6 m/s²
C
12 m/s²
D
4 m/s²
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