Originally Posted by
cyclezen
By Definition 'climbing' is a change in vector, hence 'Acceleration'
This is incorrect. When you are climbing up a constant slope (eg. 10% gradient) the only thing that changes compared to riding on the flat is the direction (vector) in which the Force of Gravity is acting relative to the body and ground. Whether or not you accelerate depends entirely on how much force you apply in the opposite direction. When you are climbing at a constant speed your mass is not accelerating. It is moving through space at a constant speed, just in a different direction i.e. forward and upward.