# Jump Trajectory Analysis AI Agent Connect

> Jump Trajectory Analysis MCP provides physics-based simulations for calculating jump flight paths, peak height, and landing impact. Your AI client uses this to model projectile motion, air resistance, and landing slope geometry to predict exactly how a jump will perform.

## Overview
- **Category:** simulation
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_L7qcBM513w4lvmGdYw3F9K7ug46Qjil4JSJHJLrX/ai-agent-connect
- **Tags:** projectile-motion, aerodynamics, trajectory, physics-engine, jump-analysis

## Description

You can use this MCP to run high-fidelity physics simulations for any jump scenario. Instead of guessing how a takeoff angle or air resistance will change your flight, you can get exact numbers. It accounts for the specific geometry of your landing slope and the aerodynamic profile of your body position. You'll get data on flight distance, maximum height, hang time, and landing velocity. Whether you are modeling a ramp jump or a natural terrain leap, the math handles the projectile motion and drag for you. You can test how different body positions change your distance or predict the exact coordinates where you'll hit the ground to ensure a safe landing.

## Tools

### calculate_jump_flight_metrics
This tool provides a full performance overview including distance, height, time, and impact speed.

### get_peak_altitude_details
Use this to focus specifically on verticality and the maximum height reached during flight.

### analyze_aerodynamic_sensitivity
This tool compares how different body positions and aerodynamic profiles affect your total flight distance.

### predict_landing_impact
Get exact landing coordinates and impact conditions to verify safety.

## Prompt Examples

**Prompt:** 
```
Calculate the flight metrics for a jump with 15 m/s takeoff speed, 30 degree angle, 2m lip height, and a 10 degree landing slope.
```

**Response:** 
```
The jump will cover a flight distance of 24.5 meters, reach a maximum height of 3.2 meters above the lip, have a hang time of 1.8 seconds, and impact with a velocity of 16.2 m/s.
```

**Prompt:** 
```
What is the peak height if I jump at 20 m/s with a 45 degree angle and a 1m lip height?
```

**Response:** 
```
The peak height reached is 10.2 meters above the takeoff lip, resulting in an absolute peak height of 11.2 meters from the ground.
```

**Prompt:** 
```
How does changing my body position from upright (1.0) to tucked (0.5) affect my distance for a 12 m/s jump at 25 degrees?
```

**Response:** 
```
Using an aerodynamic profile of 1.0 results in a distance of 14.2 meters, while a tucked profile of 0.5 increases the distance to 16.8 meters.
```

## Capabilities

### Projectile Motion Modeling
Your agent uses this to calculate flight paths based on takeoff speed and angle.

### Aerodynamic Drag Analysis
The AI calculates how body positioning changes flight distance through air resistance.

### Landing Slope Geometry
Your client factors in the angle of the landing zone to predict impact conditions.

### Verticality Analysis
The MCP calculates the maximum altitude reached relative to the takeoff point.

### Impact Prediction
Your agent determines exact landing coordinates and velocities.

## Use Cases

### Ramp Safety Design
Model a jump with a specific lip height and landing slope to ensure the impact is within safe velocity limits.

### Aerodynamic Optimization
Compare an upright body position against a tucked position to see how much distance you gain.

### Flight Path Planning
Determine the necessary takeoff speed and angle to clear a specific gap.

### Verticality Checks
Calculate the peak altitude of a jump to ensure it clears overhead obstacles.

## Benefits

- Accounts for air resistance and landing slope geometry in every calculation.
- Provides exact landing coordinates to assist in safety planning.
- Compares different aerodynamic profiles to optimize flight distance.
- Delivers specific metrics like hang time and impact velocity.

## How It Works

Connect your client to Vinkius and start running physics simulations immediately.

1. Connect your MCP-compatible client to Vinkius.
2. Provide takeoff parameters like speed, angle, and lip height to your agent.
3. The agent calls the specific physics tool needed for your question.
4. The MCP runs the projectile motion and aerodynamic calculations.
5. Your agent delivers the precise flight metrics or coordinates.

## Frequently Asked Questions

**What physics factors does this MCP include?**
The simulations account for projectile motion, air resistance, and the geometry of the landing slope.

**Can I use this to test different body positions?**
Yes, you can use the aerodynamic sensitivity tool to compare how different profiles affect your flight distance.

**How does it handle landing slopes?**
The tool incorporates landing slope geometry into its calculations to predict impact conditions and coordinates.

**Which clients can I use with this MCP?**
You can use this with any MCP-compatible client like Claude, Cursor, Windsurf, or VS Code.

**Does it calculate vertical height?**
Yes, it can calculate the maximum height reached during flight relative to the takeoff lip or the ground.

**How does air resistance affect the results?**
The simulation uses the `bodyAerodynamics` coefficient to adjust the projectile motion equations, simulating how different body positions increase or decrease drag.

**Can I predict where I will land on a slope?**
Yes, by using the `predict_landing_impact` tool, you can determine the exact horizontal distance and vertical elevation of the impact point on a specified landing slope.

**What inputs are required for a full flight overview?**
To use `calculate_jump_flight_metrics`, you must provide the takeoff speed, takeoff angle, lip height, and the landing slope angle.
