The position of the object at 1-second intervals is shown. The diagram below shows the trajectory of a projectile (in red), the path of a projectile released from rest with no horizontal velocity (in blue) and the path of the same object when gravity is turned off (in green). Thus, if the horizontal displacement ( x) of a projectile were represented by an equation, then that equation would be written as x = v ix The horizontal displacement of a projectile is only influenced by the speed at which it moves horizontally ( v ix) and the amount of time ( t) that it has been moving horizontally. It was also discussed earlier, that the force of gravity does not influence the horizontal motion of a projectile. The above equation pertains to a projectile with no initial vertical velocity and as such predicts the vertical distance that a projectile falls if dropped from rest. Where g is -9.8 m/s/s and t is the time in seconds.
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