Mechanics
Projectile Time of Flight
Total time a projectile spends in the air.
Variables
Ts
Time of flight
Total time in air
Allowed values: 0 or more
v₀m/s
Initial velocity
Launch speed
θ°
Launch angle
Angle above horizontal
In SI units: rad
gm/s²
Gravitational acceleration
≈ 9.8 m/s²
Allowed values: greater than 0
Derivation
Time to reach max height is t = v₀sinθ/g. Total time is 2t.
Your notes
0/5000
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: T = 0.02134713 s
Other mechanics formulas with the same quantities
- Free Fall (Kinematics) shares Initial velocity, 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 Projectile Maximum Height and before Average Velocity.
- 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 Time of Flight formula?
Projectile Time of Flight is written T = (2v₀ sin(θ))/g. Total time a projectile spends in the air. It belongs to Mechanics, under Kinematics.
What are the units in T = (2v₀ sin(θ))/g?
In SI units, T is time of flight, measured in s; 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 Time of Flight formula derived?
Time to reach max height is t = v₀sinθ/g. Total time is 2t. The result is T = (2v₀ sin(θ))/g.