Projectile Motion Calculator
Estimate range, time of flight, and max height for ideal projectile motion. Free MyCalcsWorld physics tool.
Results
Range
- Max height
- 40.789 m
- Time of flight
- 5.768 s
Trajectory· x–y path
Swipe chart horizontally if needed →
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Educational estimates · not financial advice · free, no signup
Formula / how it works
No air resistance. g = 9.80665 m/s².
Detailed guide
What it is, how to use it, how to read the numbers, common mistakes, a worked example, formulas, and FAQs.
What this calculator is
Textbook physics/chemistry, SI-friendly. The Projectile Motion Calculator on MyCalcsWorld is for homework checks and first-cut estimates under idealized assumptions unless noted. What it does: Range, max height, flight time, and trajectory chart for ideal projectile motion. Typical inputs: Initial speed (m/s), Launch angle (°). Demo defaults (initial speed 40 m/s, launch angle 45 °) currently resolve to Range 163.155 m in the live panel — change any field to explore sensitivity. Who it helps: lab students, makers, and engineers doing first-cut checks with textbook identities before applying real tolerances.
When to use / who it helps
- Class physics problems with ideal projectiles.
- Comparing 30° vs 45° launch angles quickly.
- Teaching trajectory symmetry under constant g.
- Use the Projectile Motion Calculator for homework checks and first-cut design estimates under textbook assumptions.
- Keep SI (or the form’s stated units) consistent — a wrong unit ruins precision.
How to use
Steps
- Enter initial speed.
- Enter launch angle.
- Enter height if the form has it.
- Read range, time, and max height.
- Open the Projectile Motion Calculator on MyCalcsWorld and skim the labeled fields before you type.
- Set Initial speed (m/s) — demo default is 40 m/s.
How to interpret results
- Flat ground ideal: R = v² sin(2θ)/g, T = 2v sinθ/g, H = v² sin²θ/(2g).
- Uneven ground changes formulas.
- Educational physics estimate.
- Each result is driven only by the labeled inputs (Initial speed (m/s), Launch angle (°)); anything not on the form (fees, holidays, clinical adjustments) is outside this estimate.
- Results assume the idealized model stated in the formula notes (constant parameters, ohmic behavior, etc.).
Common mistakes & gotchas
- Forgetting degrees vs radians.
- Ignoring launch height when landing level differs.
- Applying vacuum results to sports balls with heavy drag.
- Mixing SI and customary units across: Initial speed (m/s), Launch angle (°).
- Ignoring that textbook models omit friction, temperature drift, or non-ohmic behavior.
Worked example
Worked example — 20 m/s at 45° on flat ground
- v = 20, θ = 45°, g = 9.81.
- Range R = v²/g ≈ 40.8 m.
- Time T ≈ 2.88 s; H ≈ 10.2 m.
- Open the Projectile Motion Calculator (projectile motion) and note the starting defaults (initial speed 40 m/s, launch angle 45 °).
Result: With defaults (initial speed 40 m/s, launch angle 45 °), the Projectile Motion Calculator shows: Range 163.155 m.
To load the form's own demo values, tap Try example above the Calculate button.
How to calculate / formula
No air resistance. g = 9.80665 m/s².
Frequently asked questions
Why is 45° optimal on flat ground?
In the ideal model, sin(2θ) peaks at θ=45°, maximizing range.
Does air resistance matter?
Yes for sports and long ranges — this tool ignores drag.
What g value is used?
Standard ≈ 9.81 m/s² unless the form lets you override.
Can I model thrown from a cliff?
If the form includes initial height, yes; otherwise assume flat landing.
What does the Projectile Motion Calculator on MyCalcsWorld actually compute?
Range, max height, flight time, and trajectory chart for ideal projectile motion. You enter Initial speed (m/s), Launch angle (°), and the result panel updates in your browser.
What inputs does the Projectile Motion Calculator need?
The Projectile Motion Calculator asks for: Initial speed (m/s); Launch angle (°).
What results does the Projectile Motion Calculator show?
The panel reports Range. Each figure is recalculated whenever you change an input, so you can compare scenarios side by side.
Does this include real-world losses and tolerances?
Usually not. Textbook identities assume ideal conditions unless a field asks for efficiency, friction, or tolerance. Apply your own safety factors for designs that affect safety or compliance.
Textbook formulas under ideal assumptions. For safety-critical, structural, or regulated work, verify with a qualified engineer and the governing standards. Full disclaimer