What angle gives maximum range?
45° gives maximum range (on level ground).
Calculator
Enter your values
Results
Range
40.77 m
Max Height
10.19 m
Flight Time
2.88 s
Analysis
Interpretation of the current calculator output
Calculation Summary
The current inputs have been processed for the projectile motion calculator. Review the results panel for the computed output and use the charts tab to compare the current values visually.
How to Read It
The main result shows the direct answer for your current inputs. Supporting sections below explain the method, example, and common questions so the result is easier to interpret.
How to Use
Step-by-step instructions
- 1Enter initial velocity.
- 2Enter launch angle.
- 3Enter initial height (optional).
- 4View trajectory and range.
Projectile Motion
Calculates the parabolic path of a projectile under gravity.
R = (v²sin(2θ)) / gVariables:
vInitial velocityθLaunch angleg9.81 m/s²Example
Ball Thrown
Inputs:
Velocity:20 m/s
Angle:45°
Steps:
- 1.R = (20² × sin(90°)) / 9.81
- 2.R ≈ 40.8 m
Result:
40.8 m