Applying force through the center of mass causes every point in the body to move how?

When a force is applied through the center of mass of a body, it leads to a uniform acceleration of the entire object in the direction of the force vector. This happens because the center of mass represents the average position of all the mass in the object, and when force is applied at this point, it translates into a straightforward motion without causing any rotation or internal deformation.

The motion is predictable and directly aligned with the applied force, which means that every point in the body will move uniformly. This uniformity is vital in various fields, including physics and engineering, as it simplifies the analysis of motion and allows for straightforward calculations of trajectory and velocity. Other options do not properly describe how the body responds to force when applied at the center of mass.