Physics Formula
Projectile Motion Formula Formula
Describes the horizontal and vertical motion of an object launched at an angle.
Formula Summary
Projectile Motion Formula
Describes the horizontal and vertical motion of an object launched at an angle.
- Category
- Physics
- Equation
- x = v₀t cos(θ), y = v₀t sin(θ) - ½gt²
- Calculator
- Use Projectile Motion Formula Calculator →
Equation
x = v₀t cos(θ), y = v₀t sin(θ) - ½gt²
Variables
- v₀ = initial velocity
- t = time
- θ = launch angle
- g = gravitational acceleration
Units
- Initial Velocity: meters per second (m/s)
- Time: seconds (s)
- Launch Angle: degrees (°) or radians
- Gravitational Acceleration: meters per second squared (m/s²)
When To Use This Formula
Use this formula when analyzing the horizontal and vertical motion of an object launched at an angle under constant gravitational acceleration.
Rearranged Equations
- x = v₀t cos(θ)
- y = v₀t sin(θ) - ½gt²
How to Use This Formula
- Identify the known values from the problem statement.
- Convert all values into compatible units.
- Substitute the values into the equation and calculate the result.
- Check that the final answer has the correct unit and meaning.