Example Data Table
| Distance |
Initial Speed |
Angle |
Height |
Reference |
Gravity |
| 300 m |
850 m/s |
0 degrees |
1.5 m |
100 m |
9.80665 m/s² |
| 500 m |
760 m/s |
0.2 degrees |
1.4 m |
150 m |
9.80665 m/s² |
| 200 m |
300 m/s |
3 degrees |
1.2 m |
50 m |
9.80665 m/s² |
Formula Used
The calculator uses a simplified projectile-motion model. It assumes a steady gravity value and a flat reference plane.
Time: t = x / (v × cos θ)
Path height: y = h + x × tan θ − g × x² / (2 × v² × cos² θ)
Drop from launch: drop = h − y
Drop from reference: reference drop is subtracted from each listed drop value.
The speed loss field applies a simple estimated reduction across the selected distance. It is only a learning aid.
How to Use This Calculator
Enter the horizontal distance first. Add the initial speed in meters per second. Then enter the launch angle in degrees. Use zero for a level launch.
Add the starting height in meters. Set a reference distance if you want each result compared with a selected point. Keep gravity at 9.80665 for standard Earth conditions.
Use the speed loss field only for classroom estimates. Press calculate. The result appears above the form and below the header. Use the export buttons to save the table.
Projectile Drop Study Guide
Projectile drop is the vertical change in a moving object path. It happens because gravity pulls the object downward during flight. The longer the object stays in the air, the more gravity affects the path. This calculator gives a structured way to study that idea.
Why Distance Matters
Distance changes time of travel. A short distance leaves little time for gravity to act. A long distance gives gravity more time. That is why the drop value grows as the distance increases. The table helps you see that change step by step.
Why Speed Matters
Initial speed also affects drop. A faster object reaches a given distance sooner. Less time usually means less downward movement. A slower object spends more time in flight. That can create a larger drop value at the same distance.
Angle and Height
The launch angle controls the starting direction. A positive angle raises the early path. A negative angle lowers it. Launch height also matters. A higher starting point can delay when the path crosses the reference plane.
Reference Distance
The reference distance is used for comparison. It does not change the physical path. It changes how the table reports the drop. This is useful when you want to compare values from a chosen study point.
Speed Loss Estimate
The speed loss field is a simple estimate. Real drag is complex. It depends on shape, air density, spin, and many other values. This tool keeps the model simple. It is meant for learning, testing, and classroom review.
Reading the Results
Read the summary first. It shows final time, final height, final speed, and final drop. Then review the table. Each row shows how the path changes across distance. Export the table when you need records for notes or reports.
FAQs
Is this calculator for field targeting?
No. It is an educational projectile-motion calculator. It should be used for classroom study, reports, and safe learning examples only.
What units should I enter?
Enter distance and height in meters. Enter speed in meters per second. Enter the launch angle in degrees.
What does reference distance mean?
Reference distance is a comparison point. The calculator subtracts the drop at that point from the other listed drop values.
Can I change gravity?
Yes. Use 9.80665 for standard Earth gravity. Change it only when studying other gravity conditions or controlled examples.
What does speed loss do?
It applies a simple estimated speed reduction over the selected distance. It is not a full aerodynamic drag model.
Why is the table step important?
The step controls spacing between rows. Smaller steps show more detail. Larger steps create a shorter table.
Why can drop be negative?
Negative drop means the path is above the selected reference comparison at that distance. It can happen with upward launch angles.
Can I export my result?
Yes. After calculation, use the CSV or PDF button. Both options save the current result table.