Question

The statement “velocity and acceleration always act through the same straight line, either in the same or opposite direction” applies for which dimensional motions?

Answer 1

The statement "velocity and acceleration always act through the same straight line, either in the same or opposite direction" applies to one-dimensional motions.
In one-dimensional motion, an object moves along a straight line, and its position, velocity, and acceleration can be described using a single coordinate or axis. The statement implies that in one-dimensional motion, the velocity and acceleration vectors are parallel or antiparallel to each other, meaning they either point in the same direction or in opposite directions along the straight line of motion.
However, in two or three-dimensional motions, such as motion in a plane or in space, the velocity and acceleration vectors can have components in different directions. In these cases, the velocity and acceleration vectors may not always align or have a simple relationship with each other along a single straight line. The relationship between velocity and acceleration in multi-dimensional motion can be more complex and dependent on the specific motion and forces involved.