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Why does the polarity (positive/negative) of acceleration not indicate the direction of motion? Provide a practical...

Why does the polarity (positive/negative) of acceleration not indicate the direction of motion? Provide a practical example to support this fact. Imagine you are teaching a friend with zero biomechanics knowledge.

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Answer #1

The polarity of acceleration not indicate the direction of motion because velocity and acceleration need not to be in the same direction.

E.g. if the velocity and acceleration are in the same direction (both have the same sign both positive or both negative) the object is speeding up. If the velocity and acceleration are in opposite directions (they have opposite signs) the object is slowing down . Retarded motion is one of the best example in which velocity and acceleration are in opposite direction.

Briefly explain with the help of example

Case 1. Direction of velocity and acceleration are opposite to each other

Example- when a car is decelerating while moving on a straight path.

Case 2. Direction of velocity and acceleration are in same direction

Example-free falling bodies from a height H

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