Projectile motion with no drag
Projectile motion with no drag: range, flight time, peak height, impact speed and angle, the optimal range angle and a trajectory table, with launch height.
Answeringour last check, 2026-10-20
1 of 1checks answered this week
273 msmedian answer time
$0.01listed price per call
$0.01price it asked us
Paid test badge: not yet. The checks above are free: we call the tool without paying and read the payment request it sends back. The Verified badge needs paid calls whose answers match the promised output, and nobody can buy a badge.
Endpoint
GET https://saylorinnovations.com/api/physics/projectile
| Category | Everything else |
|---|---|
| Provider host | saylorinnovations.com |
| Networks | eip155:137, eip155:42161, eip155:8453, solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp |
| Payment schemes | exact |
| Self-reported calls, 30 days | 0 from 0 payers (the provider's figure, not ours) |
Our checks, last 30 days
| Day | Result | HTTP | Asked | Time |
|---|---|---|---|---|
| 2026-10-20 | valid payment request | 402 | $0.01 | 273 ms |
Example input (from the provider)
{
"method": "GET",
"queryParams": {
"angle_degrees": "45",
"height": "2",
"speed": "30"
},
"type": "http"
}
Promised output schema (from the provider)
{
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"method": {
"enum": [
"GET"
],
"type": "string"
},
"queryParams": {
"properties": {
"angle_degrees": {
"description": "launch angle above horizontal",
"type": "string"
},
"height": {
"description": "optional launch height above the ground, default 0",
"type": "string"
},
"speed": {
"description": "launch speed (m/s)",
"type": "string"
}
},
"required": [
"speed",
"angle_degrees"
],
"type": "object"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"properties": {
"angle_degrees": {
"description": "Launch angle",
"type": "number"
},
"gravity": {
"description": "Gravitational acceleration used",
"type": [
"number",
"null"
]
},
"horizontal_range": {
"description": "Horizontal distance travelled",
"type": "number"
},
"horizontal_velocity": {
"description": "Constant horizontal speed",
"type": [
"number",
"null"
]
},
"impact_angle_degrees": {
"description": "Angle below horizontal on landing",
"type": "number"
},
"impact_speed": {
"description": "Speed on landing",
"type": "number"
},
"initial_speed": {
"description": "Launch speed",
"type": "number"
},
"launch_height": {
"description": "Starting height",
"type": "number"
},
"maximum_height": {
"description": "Highest point above the ground",
"type": "number"
},
"note": {
"description": "Plain-language caveat about how to read and use the result",
"type": "string"
},
"optimal_angle_for_range_degrees": {
"description": "Launch angle giving the longest range for this speed and height",
"type": "number"
},
"source": {
"description": "Where the data or formula comes from",
"type": "string"
},
"time_of_flight_seconds": {
"description": "Time until landing",
"type": "number"
},
"time_to_peak_seconds": {
"description": "Time to reach the highest point",
"type": "number"
},
"trajectory": {
"description": "Eleven evenly spaced points along the path",
"items": {
"properties": {
"time": {
"description": "Time since launch",
"type": [
"number",
"null"
]
},
"x": {
"description": "Horizontal distance",
"type": [
"number",
"null"
]
},
"y": {
"description": "Height",
"type": [
"number",
"null"
]
}
},
"type": "object"
},
"type": "array"
},
"vertical_velocity": {
"description": "Initial vertical speed",
"type": [
"number",
"null"
]
}
},
"required": [
"horizontal_range",
"maximum_height"
],
"type": "object"
},
"type": {
"const": "json",
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}