Takeoff Impulse Velocity
Convert net takeoff impulse to velocity and ideal ballistic jump height.
Description
Net takeoff impulse changes vertical velocity under a constant-force model.
Net takeoff impulse changes vertical velocity under a constant-force model. The inferred velocity gives an ideal ballistic rise above takeoff.1
Convert net takeoff impulse to velocity and ideal ballistic jump height.
When to use Takeoff Impulse Velocity
Use this tool to convert net takeoff impulse to velocity and ideal ballistic jump height.
Prepare the measured movement, timing, load or preassigned score requested. Keep protocols, units, paired measurements and caller-selected thresholds consistent.
How to use Takeoff Impulse Velocity and understand its results
- Prepare the measured movement, timing, load or preassigned score requested. Keep protocols, units, paired measurements and caller-selected thresholds consistent.
- Enter netVerticalForceN, pushOffSeconds, bodyMassKg, gravityMps2 using the field table and calculation rules, then run the tool.
- Read impulseNs, takeoffVelocityMps, ballisticHeightM. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| netVerticalForceN | Net vertical force n | number | Required |
| pushOffSeconds | Push off seconds | number | Required |
| bodyMassKg | Body mass kg | number | Required |
| gravityMps2 | Gravity mps 2 | number | Required |
Enter nonnegative net force and positive duration, mass and gravity. Return impulse, velocity and height in SI units.
impulse=netForce×time; velocity=impulse/mass; height=velocity²/(2g) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| impulseNs | Impulse ns | number |
| takeoffVelocityMps | Takeoff velocity mps | number |
| ballisticHeightM | Ballistic height m | number |
{
"input": {
"netVerticalForceN": 400,
"pushOffSeconds": 0.2,
"bodyMassKg": 80,
"gravityMps2": 10
},
"output": {
"impulseNs": 80,
"takeoffVelocityMps": 1,
"ballisticHeightM": 0.05
}
}Limitations and assumptions
Net force must already subtract bodyweight. Initial velocity, force variation and technique are not modeled.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Flight Time Jump Height: Infer ballistic jump height from flight time and supplied gravitational acceleration. For a complementary task, use Reactive Strength Index: Compute reactive strength index from inferred jump height and ground contact time.
References
-
Takeoff Impulse Velocity — tool.io
Similar or alternative tools
- Flight Time Jump Height
Infer ballistic jump height from flight time and supplied gravitational acceleration.
- Reactive Strength Index
Compute reactive strength index from inferred jump height and ground contact time.