Projectile Motion - Vertical Displacement

vCalc Reviewed
Equation / Last modified by KurtHeckman on 2019/04/12 13:14
vCalc.Projectile Motion - Vertical Displacement

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.

Ballistic Flight Calculators

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


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.