\[v_y = v_0 \sin(\theta)\]
Variables
vyvertical velocity (m/s)
v0initial velocity (m/s)
thetalaunch 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.