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The position of a particle in motion in the plane at time t is X(t) = t I + ln(cos(t)) J. At time t = (0π)/2, determine the following: (a) the unit tangent vector: ??? I + ??? J (b) the unit normal vector to X(t): ??? I + ??? J (c) the acceleration vector: ??? I + ??? J (d) the curvature: ???
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