Projectile Range
Horizontal range of a projectile launched from ground level.
Variables
Derivation
Combine horizontal and vertical motion equations, solve for x when y = 0.
Your notes
Constants in this formula
Check value
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- v₀ = 2 m/s (Initial velocity)
- θ = 3 ° (Launch angle)
- g = 9.806 65 m/s² (Gravitational acceleration)
Result: R = 0.04263575 m
Other mechanics formulas with the same quantities
- Projectile Time of Flight (Kinematics) shares Initial velocity, Launch angle, Gravitational acceleration
- Kinematic Equation 1 (Kinematics) shares Initial velocity
- Kinematic Equation 2 (Kinematics) shares Initial velocity
- Kinematic Equation 3 (Kinematics) shares Initial velocity
- Kinematic Equation 4 (Kinematics) shares Initial velocity
- Weight (Dynamics) shares Gravitational acceleration
Where this formula is listed
- Mechanics formulas, under Kinematics, alongside Velocity, Acceleration and Average Velocity.
- In the mechanics list it comes after Free Fall and before Projectile Maximum Height.
- Mechanics formula sheet, one of 58 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Projectile Range formula?
Projectile Range is written R = (v₀² sin(2θ))/g. Horizontal range of a projectile launched from ground level. It belongs to Mechanics, under Kinematics.
What are the units in R = (v₀² sin(2θ))/g?
In SI units, R is range, measured in m; v₀ is initial velocity, measured in m/s; θ is launch angle, measured in rad; g is gravitational acceleration, measured in m/s².
How is the Projectile Range formula derived?
Combine horizontal and vertical motion equations, solve for x when y = 0. The result is R = (v₀² sin(2θ))/g.