The only factor connecting horizontal and vertical components of projectile motion is .

Explanation:

When a body is launched in air and allowed to fall freely under the influence of gravity, the motion experienced by the body is known as a projectile motion. The body is launched at a particular velocity and at an angle theta to the horizontal. The velocity of the body ca be resolved towards the horizontal component and the vertical component.

Along the horizontal Ux = Ucos(theta)

Along the vertical Uy = Ucos(theta)

Ux and Uy are the velocities of the body along the horizontal and vertical components respectively.

This means that the only factor connecting horizontal and vertical components of projectile motion is its velocity since we are able to calculate the velocity of the body along both components irrespective of its initial velocity.

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