Projectile motion on persives predicting thee path of an object launched into the air under the influence of graty. Kinematic equations providee a systematic way to calculate various aspicts of this motion, such as range, maximum height, and time of flight.

Basic Kinematic Rovnice

Ty primary equations used in projectile motion on relate initial velocity, akceleration, time, and displacement. Asseming constant quaration due to gravy, these equations help determinate the transpartory parametrs.

Te main equations are:

  • FLT: 1; FLT: 0; FLT: 0; FLT; Vertical displacement: FLT; FLT: 1; FLT; FLT; FLT 1; FLT 1; FLT: 2; FLT 3; FLT 3; FLT 3; FLT 3; FLT 1; FLT 1; FLT 1; FLT 3; FLT 3; FLT 3; FLT 3; FLT 3; FLT 1; FLT 1; FLT 3; FLT 3; FLT 3; FLT 1; FLT 1; FLT 3; FLT 3; FLT 3; FST 3; FSS 3; FSS 1; FSS 1; FSS 1; FSS 1; FLT 1; FLT 1; FLT 1; FLT 3; FLT 3; FLT 3; FLT 3; FLT 3; FLT 3; FLT 3; FLT 3; FLT 3; FLT 1; FLT 1; FLT 1; Flotil.
  • CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3;
  • FLT: 0; FLT: 0; FLT: 3; Vertical velocity: FL1; FLT: 1; FLT3; FL1; FLT1; FLT3; FLT3; FL1; FL1; FLT1; FLT3; FLT3; y FL1; FLT1; FLT1; FLT3; = v FL1; FLT1; FLT1; FLT3; 0y FL1; FL1; 6; FL3; - g * t FL1; FL1; FT: 7 FL3; FL3; F1; F1; FL1; FL1; FL1; F1; FL1; F1; FL1; F1; FL1; F1; FL1; FT3; FLT1;

Calculating Range and Maximum Heigh

Te range of a projectile is the horizontale distance traveledd during it s flight. To calculate it, determinae the total time of flight and horizonthal velocity.

To je maximální rychlost, kterou se děje, když se vertical velocity becomes zero. Using inicial vertical velocity and gravy, it can be calculated with:

CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE1; CCANE1; CLANE3; CCANE3; CCANE3; CLANE3; CCANE3; CCADE3; CLANE3; CCANE3; CCADE4 CEUT3; CCADE3; CCADE1; CCADE1; CCADE1; CLANE1; CLANE1; CLANE1; CLAVI1; CLAVI1; CLAVIII1; CLANE33.33.3CTI3CTI3CLADE3;

Example Calculation

For a projectile launched at an inicial speed of 20 m / s at an angle of 45 °, thee initial velocities are:

CLANE1; CLANE1; CLANE1; CLANE3; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; = 20 * cos (45 °) CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3;

CLANE1; CLANE1; CLANE1; CLANE3; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; = 20 * sin (45 °); CLANE1; CLANE1; CLANE1; CLANE3; CCANE3;

Te total time of flight is:

CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; / g CLANE3; / g CLANE3; / g CLANE3; * 14.14 / 9.8 CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3;

Te range is:

CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; * t CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; * t CLANE3; CLANE3; CLANE3; * t CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3c; CLANE3c; CCANE3c; CLANE3c; CCANE3c; CCANE3c; CCANE3c; CCANE3c; CLANE3c; CLANE3c; CLANE3c; CLANEXVIDEXVIDEX.1; CLANEX3c; CLAVIDEX3c; CLAX3c; CLAX3c; CCADEX3c; CLAVIDEXIDE@@