let an object move with a constant accelration a. in my book,the following derivatve is said to be non-constant(variable). $$\frac{d[\frac{v}{|v|}]}{dt}$$ what does this mean? as far as i can think,it should mean the rate of change of direction of velocity(as $\frac{v}{|v|}$ is a unit vector)if yes then what would its value be like
Bonus Question what would the graph of a body with negative accelration and initial positive velocity with respect to time look like?i think it should be a straight line on positive axis and then a sudden shift to a line on negative axis.