Mechanics

Projectile Time of Flight

T=2v0sin(θ)gT = \frac{2v_0 \sin(\theta)}{g}

Total time a projectile spends in the air.

Variables

T
Time of flight
Total time in air
s
v₀
Initial velocity
Launch speed
m/s
θ
Launch angle
Angle above horizontal
°
g
Gravitational acceleration
≈ 9.8 m/s²
m/s²

Derivation

Time to reach max height is t = v₀sinθ/g. Total time is 2t.

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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.