Use this physics calculation to reproduce the stated idealized model when the quantities, coordinate conventions, units, and applicable physical regime are known.

Initial speed (m/s)

Required number in m/s. Launch speed v0 in meters per second.

Launch angle (deg)

Required number in deg. Launch angle above the horizontal in degrees (0 exclusive to 90 exclusive).

Gravity (m/s2)

Optional number in m/s2. Gravitational acceleration in meters per second squared.

The cited overview of Physics supplies background for the terminology and domain context used by this tool.^[1]

Compute vacuum projectile flight time, maximum height and range from launch speed, launch angle and gravitational acceleration. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Flight time (s)

Returned number in s. Total time of flight 2*v0*sin(theta)/g.

Maximum height (m)

Returned number in m. Peak height (v0*sin(theta))^2/(2g).

Range (m)

Returned number in m. Horizontal range v0^2*sin(2*theta)/g.

• Measurement uncertainty, neglected interactions, non-ideal materials, boundary conditions, relativistic or quantum effects, and unit mistakes can make a simplified model inappropriate.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Check dimensional consistency and limiting cases, retain uncertainty, and compare with experiment or a higher-fidelity model when the result informs a consequential decision.

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