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Problem 1: Write the mathematical relationship between the following quantities, specify SI units for each quantity (example, distance is in meters, time in seconds, mass in kilogram etc.). You may refer to lecture notes for this. a. Relationship between infinitesimal displacement vector di, velocity vector, ž, and infinitesimal time, dr b. Relationship between velocity vector, , speed, v, and unit vector along tangent to the path at that instant, e c. Relationship between velocity vector, , infinitesimal time, di, and acceleration vector da d. Relationship between displacement vector, i, nfinitesimal time, di, and acceleration vector à e. What is the magnitude of the acceleration vector, in terms of rate of change of speed i, speed, v, and radius of curvature, p?
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dt (S d) jp

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