When analyzing forces, it is allowable to break the motion and forces into horizontal and vertical components.

The statement above is TRUE.

When analyzing forces it is permitted to break the motion and forces into horizontal and vertical components. This is especially true for two dimensional projectile motion, in order to simplify the calculation, the forces and the motion has to be broken down into horizontal and vertical components. The vertical component is affected by the force of gravity while the horizontal component is not affected by gravity for short displacements. With greater displacement, the force of gravity comes into play.