6. Starting from the definitions of the position vector 7 = r,, unit vector i, cos...

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6. Starting from the definitions of the position vector 7 = r,, unit vector i, cos fix + sini,, and unit vector ie sini + cosi, in polar coordinates, derive (i) the expression for the velocity v = dr/dt and (ii) the expression for the change in position dr in polar coordinates. K 6. Starting from the definitions of the position vector 7 = r,, unit vector i, cos fix + sini,, and unit vector ie sini + cosi, in polar coordinates, derive (i) the expression for the velocity v = dr/dt and (ii) the expression for the change in position dr in polar coordinates. K