# Projectile Motion - Vertical Displacement

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vCalc.Projectile Motion - Vertical Displacement
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The Vertical Displacement for a Projectile calculator computes the vertical distance from an origin of an object after time (t) based on its initial position from the origin (Y_0), it's initial velocity (V_y0) and a constant acceleration due to gravity (g).

INSTRUCTIONS: Choose units and enter the following:

• (y0) This is the initial displacement in the y direction at time zero (t0).
• (vy0) This is the initial y-component velocity at time  zero (t0).
• (t) This is the time into ballistic flight, some time after time  zero (t0).

Vertical Displacement (y): The calculator will return the vertical displacement in meters.  However, this can be automatically converted to other length units via the pull-down menu.

### General Information

This is the typical equation for an object launched vertically against gravity or a projectile in a ballistic trajectory.  The formula for the vertical displacement is:

y = y0 + vy0•t - 0.5•g•t2

where:

This equation allows the input value for g to be an input, so the acceleration constant for other bodies, like the Moon could be input and the displacement calculated for projectile motion on the Moon.  The default for g is the Earth's gravitational acceleration near sea level.