2011-03-19, 06:39 PM
If a is perpendicular to v and at + ac = a, then either:
- at is also perpendicular to v (which is nonsense), or
- |at| = 0 (in which case a = ac and points perpendicular from v)
=> at = (v/|v|)*(d|v|/dt) = 0
<=> v = 0 (I don't really know how a vector can equal a number, so yeah) or d|v| = 0
=> d|v| = 0
At least that's what I got from this page: http://en.wikipedia.org/wiki/Tangential_...celeration
Haven't really done this material.
- at is also perpendicular to v (which is nonsense), or
- |at| = 0 (in which case a = ac and points perpendicular from v)
=> at = (v/|v|)*(d|v|/dt) = 0
<=> v = 0 (I don't really know how a vector can equal a number, so yeah) or d|v| = 0
=> d|v| = 0
At least that's what I got from this page: http://en.wikipedia.org/wiki/Tangential_...celeration
Haven't really done this material.