Technical Calculator

Projectile Motion Calculator

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What's Projectile movement?

Projectile motion is defined in physics as the motion of an object thrown into the air and acted upon by gravitational acceleration. The course followed means trajectory, while an item stands accused as the projectile and the motion of the object is that of the trajectory.

Projectile motion Equations:

The maximum essential projectile motion equations are:

Projecting an object from the earth surface, wherein preliminary peak h = 0

Horizontal pace aspect:

\(V_{x} = cos\left(α\right) * V\)

Vertical velocity issue:

\(V_{y} = sin\left(α\right) * V\)

Flight period:

\(t = \dfrac{V_{y}}{g} * 2\)

range of the projectile:

\(R = \dfrac{V_{y}}{g} * V_{x} * 2\)

most height:

\(\text{max h} = \dfrac{V_{y}^{2}}{2 * g}\)

Projecting the object from some height where initial height h > 0

Horizontal velocity component:

\(V_{x} = cos\left(α\right) * V\)

Vertical velocity component:

\(V_{y} = sin\left(α\right) * V\)

Time of flight:

\(t = \dfrac{\sqrt{\left(Vy^{2} + 2 * g * h\right)} + V_{y}}{g}\)

Range of the projectile:

\(R = V_{x} * \dfrac{\sqrt{\left(V_{y}^{2} + 2 * g * h\right)} + V_{y}}{g}\)

Maximum height:

\(\text{h max} = V_{y}^{2} + \dfrac{h}{2 * g}\)