Kalkulator na Motsi na Projectile
Range, peak height, flight time and the full trajectory curve of a launch.
Results update as you type.
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the projectile is launched from a cliff, the maximum height is 14.14 m, and the maximum angle of impact is 9.807°. The projectile is launched from a cliff, the maximum height is 14.14 m, and the maximum angle of impact is 9.807°. The projectile is launched from a cliff, the maximum height is 14.14 m, and the maximum angle of impact is 9.807°. The projectile is launched from a cliff, the maximum height is 9.8
Tambayoyi da ake yi da yawa
Mene ne ƙudurin farawa na ba da mafi girman faɗi?
On level ground with no air resistance, 45° gives the greatest range because sin(2θ) peaks at θ = 45°. A raised launch shifts the optimum slightly lower.
Ta yaya ake samun wannan kimar?
Motsi madaidaici na ƙayyade lokacin tafiya daga v·sinθ da ƙarfin jujjuyawar ƙasa; wannan yanki shi ne gudun hoton v·cosθ da aka ninka da wannan lokaci. Mafi girman tsayi shi ne (v·sinθ)²/(2g).
Me ya sa 30° da 60° suke ba da daidaitaccen yanki?
On level ground the range depends on sin(2θ), and sin(60°) = sin(120°), so complementary angles that add to 90° produce the same distance. The 60° shot goes higher and stays airborne longer; the 30° shot is flatter and faster.
Shin wannan yana nufin hana iska?
Haƙĩƙa, ba haka ba - yana tsammanin wani wuri mai zafi, don haka ma'auni ne kawai ƙarfin. Hasken gaskiya ko abubuwa masu sauri suna da ƙarancin da aka ƙidaya saboda gudun da ke dauke da gudu. Wannan sifar ita ce mafi daidaituwa ga ƙan, ƙan, masu motsa kai.
Me ya faru idan na fara daga wani tsayi?
Set a launch height above zero and the projectile has farther to fall, so it stays up longer and travels farther, and the optimal angle for maximum range drops a few degrees below 45°. The trajectory becomes an asymmetric parabola.
Ta yaya ake samun gudun da ya shafi motsi?
It combines the horizontal speed (unchanged throughout) with the vertical speed at landing via the Pythagorean theorem. Launching from ground level on flat terrain, the impact speed equals the launch speed by energy conservation; from a height it is higher.
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[Translation temporarily unavailable. Please try again.] Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. [Translation temporarily unavailable. Please try again.] →
Endpoint
GET https://calculator.free/api/v1/projectile-motion/curl
curl "https://calculator.free/api/v1/projectile-motion/?velocity=20&angle=45"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/projectile-motion/?" + new URLSearchParams({
"velocity": "20",
"angle": "45"
}));
const data = await r.json();
console.log(data.results);Results are estimates for general guidance only, not financial, medical or tax advice.