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.
Calculator:
INPUT PARAMETERS 
Unit system selection 
(m, m/s, m/s^{2} ) 
(ft, ft/s, ft/s^{2} ) 
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 
1^{st} Solution 
2^{nd} Solution
(If exists) 
Unit 
Initial Velocity 
V_{0} 


[m/s]

V_{0x} 


V_{0y} 


Final Velocity

V_{f} 


V_{fx} 


V_{fy} 


Initial Height 
y_{0} 


[m]

Final Height 
y_{f} 


Maximum Height 
h 


Horizontal Distance 
l 


Flight Duration 
t 


[s] 
Time to Reach
Max. Height 
t_{h} 


Launch Angle 
α_{0} 


[deg] 
Landing Angle 
α_{f} 


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 xdirection) 
x_{t}=x_{0}+v_{0x}t 
Position formula
(in ydirection) 
y_{t}=y_{0}+V_{0y}t+1/2gt^{2} 
Velocity formula
(in xdirection) 
V_{x} = V_{0x} 
Velocity formula
(in ydirection) 
V_{yt} = V_{0y}+gt 
Reference: