Tuesday, July 17, 2007

Irodov Problem 1.24

(a) The same equation can be rewritten in parametric form as,

From (1a) we obtain t = x/a and substituting this in (1b) we get,

(b)Velocity and acceleration can be obtained as successive time derivative of r and given by,

The magnitude of these vectors are given by the Euclidean norm thus,

(c)The angle between v and w is given by,

(d)The mean velocity is simply the displacement over time given by,

The maginitude of this vector as before is given by the Euclidean norm as,

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