# Projectile Motion Calculator

Calculation of Unknown Parameters of Projectile Motion

### This page exists due to the efforts of the following people:

#### Timur

Created: 2011-07-23 13:56:52, Last updated: 2023-05-25 16:21:50

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This calculator allows you to determine the unknown parameters of projectile motion using known values. The parameters involved in projectile motion include duration, maximum height, distance, initial velocity, and angle.

Projectile motion involves the motion of an object launched into the air at an angle. The main equations used in this calculator are derived from the principles of accelerated motion, considering that there is no acceleration along the x-axis and only the acceleration due to gravity "g" acts along the y-axis.

The known parameters can be any combination of distance (S), maximum height (h), flight duration (t), initial angle (\alpha), and initial velocity (v_0). The calculator can find the unknown parameters based on the provided known values.

For example, if you know the initial velocity and angle, the calculator can determine the flight duration, maximum height, and travel distance of the projectile. Conversely, if you know the initial angle and maximum height, the calculator can find the initial velocity, travel distance, and flight duration. Please note that it is not possible to determine the other parameters solely from the maximum height and flight duration.

By utilizing this calculator, you can easily compute the various parameters associated with projectile motion and gain insights into the behavior of projectiles in a given scenario.

#### Projection

Gravitational acceleration, m/s2
Digits after the decimal point: 2
Initial velocity (m/s)

Angle (degrees)

Duration (secs)

Distance (m)

Maximum height (m)

### Projectile Motion Equations

$S=\frac{\upsilon_0^2}{g}\sin 2\alpha \\\\ h=\frac{\upsilon_0^2}{2g}\sin^2\alpha \\\\ t=\frac{2\upsilon_0 sin\alpha}{g}\$

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PLANETCALC, Projectile Motion Calculator