Projectile Motion: Time of Flight

📊 intermediate

$$T = \frac{2u \sin \theta}{g}$$

Total time an object remains in the air when projected at an angle.

Variables & Units

$u$

Initial velocity

Unit: $m/s$

$\theta$

Angle of projection

Unit: Degrees

Key Information

📐 Derived From

Kinematic equations for vertical motion ($v = u + at$ where $v=0$ at peak).

💡 Example

Calculating how long a football stays in the air.

🔧 Applications

Ballistics and sports.

⚠️ Constraints

Neglecting air resistance.

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