Horizontal and Vertical Speed Calculator
🎯 Projectiles. Use the Horizontal and vertical speed formula to find horizontal speed vₓ, launch speed, angle θ: pick the value you want, type the others, and the answer updates as you go.
Solves the horizontal part.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Horizontal speed vₓ | m/s |
| Launch speed | m/s |
| Angle θ | ° |
Worked example
Find the horizontal speed vₓ when Launch speed = 20 m/s, Angle θ = 45 °.
Using vx = vcosθ, vy = vsinθ: Horizontal speed vₓ = 14.142 m/s.
Frequently asked questions
What is the formula for Horizontal and vertical speed?
vx = vcosθ, vy = vsinθ. Solves the horizontal part.
What do the letters stand for, and what units are used?
Horizontal speed vₓ in m/s, Launch speed in m/s, Angle θ in °.
How do you calculate horizontal speed vₓ?
Put the values into vx = vcosθ, vy = vsinθ. For example, with Launch speed = 20 m/s, Angle θ = 45 °, horizontal speed vₓ = 14.142 m/s.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (horizontal speed vₓ, launch speed, angle θ) and fill in the others: it rearranges the formula for you.
