Projectile Motion Calculator

Using the Projectile Motion Calculator allows you to map the exact parabolic flight path of any unpowered object moving through the air. Follow these precise steps:

Step 1: Determine the Initial Velocity of the object. This is exactly how fast the object is moving the millisecond it leaves the launcher or your hand. Enter this into the first input field, strictly in meters per second (m/s).

Step 2: Determine the Angle of Launch. This is the exact angle relative to the flat ground. A perfect horizontal throw is 0°, and a straight vertical shot into the sky is 90°.

Step 3: Enter the Launch Angle (in degrees) into the second input field.

Step 4: Determine the Initial Height of the launch (e.g., throwing a ball off a 10-meter cliff). If launching from flat ground, enter 0.

Step 5: Click the "Calculate" button.

Step 6: Review the output. The calculator will instantly resolve the physics equations to provide the maximum height the object will reach, its total flight time, and the exact distance it will travel before hitting the ground.

The Projectile Motion Calculator is a foundational tool for ballistics experts, aerospace engineers, and sports scientists. Once an object—whether it is a golf ball, an artillery shell, or a leaping athlete—leaves the ground and enters the air without its own engine, it is officially a 'projectile'. Its fate is instantly sealed by exactly two physical forces: its initial launch velocity and the constant, inescapable downward pull of Earth's gravity. By mathematically decoupling the vertical and horizontal flight paths using trigonometry, physicists can flawlessly predict where an object will land. This specific mathematics is what allows the military to precisely target artillery over mountains, and allows NASA to calculate the exact parabolic arcs required for orbital spacecraft launches.