Since the directions of v and a are entirely independent of

Since the directions of v and a are entirely independent of each other the derivative of the speed d|b|/dt can take any value between -|a| and + |a| including plusminus |a|. True False

Solution

False

Though direction of change of velocity with respect to time is independent of velocity, The the magnitude of change of velocity with respect to time always represent accleration |a|, and its value can be +/-|a|