calculate_acceleration_from_position
Calculate acceleration from position data using numerical differentiation. This tool analyzes recorded position and time values to determine velocity and acceleration vectors for motion analysis.
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 |