Physics Calculators ▶ Projectile Motion Calculator
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Table of Content
Projectile motion calculator computes the velocity, height, and flight duration at a given time.
This Projectile calculator analyzes the parabolic motion and solves a special case where an object is launched from an elevated plane horizontally.
In physics, a projectile motion is defined as the motion of an object thrown into the air and subjected to gravitational acceleration. The path followed by the object is called the trajectory, while an object is indicted as the projectile, and the movement of the object is called the motion of the projectile.
The most essential projectile motion equations are:
Projecting an object from the earth surface, where initial height h = 0
Horizontal velocity component: V_x = cos(α) * V
Vertical velocity component: V_y = sin(α) * V
Flight duration: t = V_y / g * 2
Range of the projectile: R = V_y / g * V_x * 2
Maximum height: maxh = V_y^2 / (2 * g)
Projecting the object from some height where initial height h > 0
Horizontal velocity component: V_x = cos(α) * V
Vertical velocity component: V_y = sin(α) * V
Time of flight: t = [\sqrt{(Vy^2 + 2 * g * h)} + V_y] / g
Range of the projectile: R = V_x * [\sqrt{(V_y^2 + 2 * g * h)} + V_y] / g
Maximum height: hmax = V_y^2 + h/ (2 * g)
The Calculator calculates:
If you select the flight parameters at a given time from the drop-down list, then it’ll provide:
From the source of Wikipedia: Kinematic quantities of projectile motion, Trajectory of a projectile with air resistance, Trajectory of a projectile with Stokes drag, Trajectory of a projectile with Newton drag, Lofted trajectory.