# PROJECTILE MOTION (HORIZONTAL TRAJECTORY) CALCULATOR

Projectile motion (horizontal trajectory) calculator finds 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:

 KNOWN PARAMETERS Initial Velocity (V0), Launch Angle (α) Horizontal Distance (l), Max. Height (h) Initial Velocity (V0), Flight Duration (t) Initial Velocity (V0), Maximum Height (h) Flight Duration (t), Horizontal Distance (l) Initial Velocity (V0), Horizontal Distance (l) Launch Angle (α), Horizontal Distance (l) Launch Angle (α), Flight Duration (t) Launch Angle (α), Maximum Height (h) UNIT SYSTEM SELECTION Metric (SI) (m, m/s, m/s2 ) U.S. units (ft, ft/s, ft/s2 ) INPUT PARAMETERS Parameter Value Unit 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.

Note*: Gravity vector is negative in downward direction.

 RESULTS Parameter 1st Solution 2nd Solution (If exists) Unit Initial Velocity (V0) [m/s] Initial Horizontal Velocity (V0x) Initial Vertical Velocity (V0y) Final Velocity (Vf) Final Horizontal Velocity (Vfx) Final Vertical Velocity (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 Projectile Motion 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