PROJECTILE MOTION (HORIZONTAL TRAJECTORY) CALCULATOR


Projectile motion calculator calculates the initial and final velocity, initial and final height, maximum height, horizontal distance, flight duration, time to reach maximum height, and launch and landing angle parameters of projectile motion in physics. Moreover, following plots are drawn for the projectile motion.

  - Height (or Vertical Position) vs. Time

  - Vertical Velocity vs. Time

  - Horizontal Position vs. Height (or Vertical Position)

  - Horizontal Velocity vs. Time

  - Horizontal Position vs. Angle

The effect of air resistance is ignored in calculations. Projectile motion formulas used for calculations are given in the "List of Equations" section.


Projectile Motion Calculator


Calculator:

 INPUT PARAMETERS
Unit system selection
(m, m/s, m/s2 )

(ft, ft/s, ft/s2 )
Known parameters
Initial Velocity (V0) m/s
Launch Angle (α) deg
Initial Height (y0) m
Final Height (yf) m
Gravity m/s^2

Note: Use dot "." as decimal separator.

 




RESULTS
Parameter Symbol 1st Solution 2nd Solution
(If exists)
Unit
Initial Velocity V0 [m/s]
V0x
V0y
Final Velocity Vf
Vfx
Vfy
Initial Height y0 [m]
Final Height yf
Maximum Height h
Horizontal Distance l
Flight Duration t [s]
Time to Reach
Max. Height
th
Launch Angle α0 [deg]
Landing Angle αf


 

Note: Default rounding is 5 decimal places.

Definitions:

Projectile Motion: Projectile motion is a form of motion which takes place in two dimensions. The shape of the motion is a parabola.

List of Equations:

Position formula
(in x-direction)
xt=x0+v0xt
Position formula
(in y-direction)
yt=y0+V0yt+1/2gt2
Velocity formula
(in x-direction)
Vx = V0x
Velocity formula
(in y-direction)
Vyt = V0y+gt

 
Reference: