Category :
calculators
Date Posted :
March 21, 2025
Parabolic Projectile Calculator

Parabolic Projectile Calculator

Calculate the parameters of a projectile launched on level ground.
Enter the initial velocity \( v_0 \), launch angle \( \theta \), and gravitational acceleration \( g \).

* Ensure the values are in SI units: m/s for velocity and m/s² for gravity.

Step 1: Enter Parameters

Example: 20 m/s

Angle relative to horizontal

Default: 9.81 m/s²

Derived Formulas:
Time of Flight: \( T = \frac{2v_0\sin\theta}{g} \)
Maximum Height: \( H = \frac{v_0^2\sin^2\theta}{2g} \)
Range: \( R = \frac{v_0^2\sin(2\theta)}{g} \)


Example:
For \( v_0 = 20\,\text{m/s} \), \( \theta = 45^\circ \), and \( g = 9.81\,\text{m/s}^2 \), the calculator computes the time of flight, maximum height, and range.