Projectile Motion - Vertical Velocity

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Projectile Motion - Vertical Velocity

Projectile Motion - Vertical Velocity
\[v_y = v_0 \sin(\theta)\]

Variables

vy = vertical velocity (m/s)
v0 = initial velocity (m/s)
theta = launch angle (rad)

Description

What is this formula?

This equation calculates the vertical component of the initial velocity in projectile motion.


When to use it

Use this formula when analyzing the vertical behavior of a projectile or decomposing motion into components.


Example

If a projectile is launched at 40 m/s with an angle of 30°:


vy = 40 × sin(30°) = 20 m/s


Applications

Projectile analysis, ballistics, sports physics, engineering simulations, and trajectory calculations.


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