Time of Flight Calculator

Solve flight time fast with practical controls. Compare launch heights and gravity. Export results instantly. Built for students, labs, and engineering checks anywhere today.

Choose the model that matches your motion.
Used for heights, range, and displacement.
Used for launch speed and velocities.
Use a positive value for local gravity.
Controls rounding in results and exports.
Tips
  • Angles are in degrees.
  • Heights share the selected length unit.
  • Exports use the last computed result.
Initial speed magnitude.
0° is horizontal, 90° is vertical.
Starting height relative to a reference.
Target height where the object lands.
Idealized motion under uniform gravity only.
Keep disabled for clean comparisons.
Use the same reference as the final value.
Target position to reach.
Positive is upward along the chosen axis.
Use negative for downward gravity in vertical motion.
Root selection
If two positive times exist, the earliest time is used. The alternate root is also shown.
Loads typical values into the 1D fields.
Clear
After calculating, results appear above this form under the header.

Example Data

Sample scenarios help validate your inputs and expectations.

Scenario Inputs Typical output
Level ground projectile Speed 20 m/s, angle 45°, h0 0 m, h1 0 m, g 9.80665 Time ≈ 2.88 s, range ≈ 40.8 m
Elevated launch to ground Speed 15 m/s, angle 35°, h0 10 m, h1 0 m, g 9.80665 Time increases, range depends on angle
1D upward motion y0 0 m, y1 0 m, v0 12 m/s, a -9.80665 Time ≈ 2.45 s, alternate root may exist

Formula Used

Projectile mode uses constant-acceleration motion with uniform gravity:

1D kinematics solves the quadratic:

How to Use

  1. Select a calculation mode that matches your motion.
  2. Pick your preferred units for length and speed.
  3. Enter gravity, then fill the inputs for that mode.
  4. Press Calculate to see results above the form.
  5. Use the export buttons to download CSV or PDF.

Time of Flight in Practical Motion Analysis

1. Why time of flight matters

Time of flight is the interval between release and reaching a chosen target height. In timing gates, motion sensors, and video tracking, it defines when measurements start and stop. In applications, it supports safety clearances by estimating how long an object remains airborne.

2. Ideal model and key assumptions

This tool uses constant acceleration with uniform gravity and neglects drag. That approximation works well for short-range launches and many lab demonstrations. The default gravity is 9.80665 m/s², and changing it lets you compare environments or test sensitivity to local conditions.

3. Speed components and angle

Launch speed is resolved into horizontal and vertical components using the launch angle. The vertical component controls airtime and peak height, while the horizontal component controls how far the object travels during that time. The calculator keeps units consistent through built-in length and speed conversions.

4. Different launch and landing heights

Real trajectories often start and end at different elevations, such as a platform-to-ground throw. Including both heights changes the quadratic solution and can increase airtime noticeably. If the landing height is above the maximum reachable height, the model produces no real time because the target cannot be reached.

5. Quadratic roots and interpretation

The height equation can produce two real roots. One may represent passing a height on the way up, and the other passing it on the way down. Projectile mode typically reports the later positive root as the landing time. The 1D mode reports the earliest positive time and also shows an alternate root when applicable.

6. Impact conditions derived from time

After solving time, the calculator estimates impact vertical velocity, impact speed, and approach angle. These values help compare trajectories and assess landing severity trends. Holding launch speed constant while changing angle generally trades horizontal distance for airtime, with the height difference shifting where that tradeoff is most favorable.

7. Units, precision, and reporting

Choose meters, centimeters, or feet for length and common velocity units for speed. Precision controls rounding for displayed cards and for exported reports, helping you create repeatable records. Exports provide a quick way to share calculations in lab notes, design logs, or review checklists.

8. Practical workflow for reliable results

Use a clear reference for heights, keep angles in degrees, and confirm acceleration sign conventions in 1D problems. Compare your inputs with the example table to catch unit mistakes early. If results look implausible, verify reachability and then export CSV or PDF for documentation.

FAQs

1) What is time of flight?

It is the elapsed time from launch to reaching a specified landing height. In ideal motion, it depends on gravity, vertical speed, and the height difference.

2) Why can the calculator show an alternate root?

For a quadratic height equation, the same height can occur on the way up and on the way down. Two times may be valid mathematically, depending on the inputs.

3) When should I use projectile mode?

Use it when motion has both horizontal and vertical components, such as a thrown ball or launched object. It estimates flight time, range, and impact conditions.

4) When should I use 1D kinematics mode?

Use it for straight-line motion along a single axis. It is ideal for vertical motion problems, elevators, test rigs, or any constant-acceleration displacement timing.

5) Does this account for drag?

No. It uses an ideal constant-acceleration model. If drag is significant, measured flight time may be longer, and the range will typically be shorter than predicted.

6) Why is my input set producing no real time?

The target height may be unreachable with the given launch speed, angle, and gravity. Check sign conventions, units, and whether the required apex height exceeds your target.

7) How do the exports work?

After a calculation, the tool stores the latest result. The CSV and PDF buttons export that stored result, using your chosen units and display precision.


Measure motion confidently, save outputs, and verify calculations quickly.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.