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,