That's it! We've derived the trajectory formula. The equation for the distance traveled by a projectile being affected by gravity is sin(2)v 2 /g, where is the angle, v is the initial velocity and g is acceleration due to gravity. y = h V y t − g t 2 / 2 y = h V_y t - g t^2/2 y = h V y t − g t 2 /2Īs the launch velocity ( V 0 V_\text y = h x tan α − 2 V 0 2 c o s 2 α g x 2 .The path the object follows is determined by these effects (ignoring air resistance). Where does the vertical distance formula come from?įirst, let's remember the equations of motion for the horizontal ( x x x) and vertical ( y y y) positions: Projectile motion (horizontal trajectory) calculator finds the initial and final velocity, initial and final height, maximum height, horizontal distance. A projectile is an object that is given an initial velocity, and is acted on by gravity. Launch from the ground (initial height 0) To find the formula for the projectile range, lets start with the equation of motion.
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