Final answer:
The relationship between speed and accuracy in closed loop control movements is described by the Linear speed-accuracy trade-off, indicating a balance between the two is necessary.
Step-by-step explanation:
The mathematical relationship between speed and accuracy for closed loop control movements is described by the Linear speed-accuracy trade-off. This principle states that as the speed of a movement increases, the accuracy of that movement tends to decrease, and vice versa. This trade-off is crucial in understanding motion within physical systems and designing control mechanisms that balance the two factors effectively. An example of this trade-off can be seen with an athlete in motion; as they attempt to move faster, their precision with each stride may diminish.