The position of a particle is defined by the position vector where numerically (a=0.33, b=0.71, c=1.0). Determine:

Question:

The position of a particle is defined by the position vector

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where numerically $a=0.33, b=0.71, c=1.0$. Determine:
1. the dimensions of $a, b, c$;
2. the function describing the velocity and acceleration vectors;
3. the average speed $v_{m}$ in the time interval between $t=0 \mathrm{~s}$ and $t=2 \mathrm{~s}$;
4. the normal and tangent components of acceleration;
5. the radius of curvature $ho$ at time $t=1 \mathrm{~s}$.