calculate_acceleration_from_position
Compute velocity and acceleration vectors from position data using central difference numerical differentiation. Provides average velocity and acceleration.
Instructions
Calculate acceleration by numerical differentiation of position data.
Uses central differences for numerical differentiation:
v[i] ≈ (r[i+1] - r[i-1]) / (2Δt)
a[i] ≈ (v[i+1] - v[i-1]) / (2Δt)
Args:
times: Time values in seconds (or JSON string)
positions: Position vectors [[x,y,z], ...] in meters (or JSON string)
Returns:
Dict containing:
- velocities: Velocity vectors [[x,y,z], ...] in m/s
- accelerations: Acceleration vectors [[x,y,z], ...] in m/s²
- average_velocity: Average velocity [x,y,z] in m/s
- average_acceleration: Average acceleration [x,y,z] in m/s²
Example - Analyze recorded position data:
result = await calculate_acceleration_from_position(
times=[0, 1, 2, 3],
positions=[[0,0,0], [5,0,0], [10,0,0], [15,0,0]]
)Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| times | Yes | ||
| positions | Yes |