{"uid":"cap_WmA-GXIm4kXDX2ltPUiJv","slug":"physics-calculators-projectile-motion-8160657f","name":"Physics Calculators: Projectile Motion","description":"Projectile motion without drag: range, max height, flight time, impact speed and angle from launch speed, angle and height.","url":"https://physics-calc.x402tookit.com/projectile?utm_source=zero.xyz","method":"GET","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method"],"properties":{"type":{"type":"string","const":"http"},"method":{"enum":["GET"],"type":"string"},"queryParams":{"type":"object","required":["speed","angleDeg"],"properties":{"body":{"type":"string","description":"Or a body for gravity: earth, moon, mars, venus, jupiter or sun (ignored if gravity is given)"},"speed":{"type":"number","description":"Launch speed in m/s, 0 to 3000"},"height":{"type":"number","description":"Launch height above the landing level in metres (default 0)"},"gravity":{"type":"number","description":"Gravity in m/s2, 0.1 to 300 (default 9.80665 standard gravity)"},"angleDeg":{"type":"number","description":"Launch angle above horizontal in degrees, -90 to 90"}}}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string"},"example":{"type":"object","properties":{"asOf":{"type":["null","string"]},"speed":{"type":["null","number"]},"rangeM":{"type":["null","number"]},"source":{"type":["null","string"]},"gravity":{"type":["null","number"]},"reasons":{"type":["array","null"],"items":{"type":"string"}},"summary":{"type":["null","string"]},"verdict":{"type":["null","string"]},"angleDeg":{"type":["null","number"]},"degraded":{"type":["boolean","null"]},"disclaimer":{"type":["null","string"]},"maxHeightM":{"type":["null","number"]},"notChecked":{"type":["array","null"],"items":{"type":"string"}},"flightTimeS":{"type":["null","number"]},"impactSpeed":{"type":["null","number"]},"timeToApexS":{"type":["null","number"]},"launchHeight":{"type":["null","number"]},"horizontalSpeed":{"type":["null","number"]},"initialVerticalSpeed":{"type":["null","number"]},"impactAngleBelowHorizontalDeg":{"type":["null","number"]},"maxRangeAngleForGroundLaunchDeg":{"type":["null","number"]}}}}}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.02","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.02/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_05muGVrsFMifo2MWHuLCw","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.02","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Calculates projectile motion parameters (range, max height, flight time, impact speed and angle) from launch speed, angle, height, and gravity, without air drag.","exampleAgentPrompt":"What's the range, max height, and flight time for a projectile launched at 50 m/s at 45 degrees from ground level, assuming standard Earth gravity?","exampleUseCases":[{"title":"Sports ball trajectory analysis","prompt":"If I kick a soccer ball at 25 m/s at a 35-degree angle from ground level on Earth, how far will it travel and how high will it go?"},{"title":"Lunar projectile experiment","prompt":"Calculate the range and flight time for a projectile launched at 100 m/s at 30 degrees on the Moon — I want to compare it to the same throw on Earth."},{"title":"Artillery launch from elevated position","prompt":"A projectile is launched from a cliff 50 metres above the landing zone at 200 m/s and 20 degrees above horizontal. What is its range, impact speed, and impact angle?"}],"resultDescription":"Returns a JSON object with: range in metres, maximum height in metres, total flight time in seconds, time to apex in seconds, impact speed, impact angle below horizontal in degrees, horizontal speed, initial vertical speed, the gravity used, and the optimal max-range angle for a ground-level launch. Also includes a summary string, the echo of input speed and angle, and any disclaimer or degraded-mode flags.","failureModes":["Missing required parameters (speed or angleDeg) returns an error","Launch speed out of range (0–3000 m/s) may be rejected","Launch angle outside -90 to 90 degrees may be rejected","Invalid gravity value (outside 0.1–300 m/s²) may fail","Unrecognized body name (not earth/moon/mars/venus/jupiter/sun) may be ignored or error","Network timeout or payment failure returns no result"],"whenToPreferThis":"Use this endpoint when you need fast, precise analytic projectile motion calculations without air drag, especially across different gravitational environments (Earth, Moon, Mars, Venus, Jupiter, Sun) or from non-zero launch heights. Prefer this over manual computation or general-purpose LLM math when you need exact numerical outputs for range, apex, flight time, and impact parameters in a single API call.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-29T13:08:06.739Z","isFirstParty":false,"canonicalSlug":"physics-calculators-projectile-motion-8160657f"}