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Time of Flight Formula

GoTime of Flight for Inclined Projectile Formula

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Time of Flight is the duration of time an object is in the air after being projected from a source, such as a catapult or a hand. Check FAQs

T = \frac{2 \cdot u \cdot \sin (θ pr)}{g}

T - Time of Flight?u - Initial Velocity?θ_pr - Angle of Projection?g - Acceleration due to Gravity?

Time of Flight Example

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Here is how the Time of Flight equation looks like with Values.

Here is how the Time of Flight equation looks like with Units.

Here is how the Time of Flight equation looks like.

2.7816 = \frac{2 \cdot 35 \cdot \sin (0.4)}{9.8}

2.7816s = \frac{2 \cdot 35m/s \cdot \sin (0.4rad)}{9.8m/s²}

2.7816 = \frac{2 \cdot 35 \cdot \sin (0.4)}{9.8}

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Time of Flight Solution

Follow our step by step solution on how to calculate Time of Flight?

FIRST Step Consider the formula

T = \frac{2 \cdot u \cdot \sin (θ pr)}{g}

Next Step Substitute values of Variables

∴

T = \frac{2 \cdot 35m/s \cdot \sin (0.4rad)}{9.8m/s²}

Next Step Prepare to Evaluate

∴

T = \frac{2 \cdot 35 \cdot \sin (0.4)}{9.8}

Next Step Evaluate

∴

T = 2.78155958791893s

LAST Step Rounding Answer

∴

T = 2.7816s

Time of Flight Formula Elements

Variables

Functions

Time of Flight

Time of Flight is the duration of time an object is in the air after being projected from a source, such as a catapult or a hand.

Symbol: T

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time of Flight

Initial Velocity

Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Initial Velocity

Angle of Projection

Angle of Projection is the angle at which an object is projected from the ground, influencing its trajectory and range of motion.

Symbol: θ_pr

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle of Projection

Acceleration due to Gravity

Acceleration due to Gravity is the rate of change of velocity of an object under the influence of gravitational force, typically measured in meters per second squared.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Time of Flight

Go Time of Flight for Inclined Projectile

T = \frac{2 \cdot u \cdot \sin (θ inclination)}{g \cdot \cos (α pl)}

Other formulas in Projectile Motion category

Go Maximum Height Attained for Inclined Projectile

H max = \frac{{(u \cdot \sin (θ inclination))}^{2}}{2 \cdot g \cdot \cos (α pl)}

Go Maximum Range of Flight for Inclined Projectile

R motion = \frac{u^{2} \cdot (1 - \sin (α pl))}{g \cdot {(\cos (α pl))}^{2}}

Go Maximum Height Attained by Object

v max = \frac{{(u \cdot \sin (θ pr))}^{2}}{2 \cdot g}

Go Range of Projectile Motion

R motion = \frac{u^{2} \cdot \sin (2 \cdot θ pr)}{g}

How to Evaluate Time of Flight?

Time of Flight evaluator uses Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/Acceleration due to Gravity to evaluate the Time of Flight, Time of Flight formula is defined as the duration taken by an object to travel a certain distance under the sole influence of gravity, typically used to describe the motion of projectiles, and is a fundamental concept in the kinematics of motion. Time of Flight is denoted by T symbol.

How to evaluate Time of Flight using this online evaluator? To use this online evaluator for Time of Flight, enter Initial Velocity (u), Angle of Projection (θ_pr) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Time of Flight

What is the formula to find Time of Flight?

The formula of Time of Flight is expressed as Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/Acceleration due to Gravity. Here is an example- 2.78156 = (2*35*sin(0.4))/9.8.

How to calculate Time of Flight?

With Initial Velocity (u), Angle of Projection (θ_pr) & Acceleration due to Gravity (g) we can find Time of Flight using the formula - Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/Acceleration due to Gravity. This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Time of Flight?

Here are the different ways to Calculate Time of Flight-

Time of Flight=(2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane))

Can the Time of Flight be negative?

Yes, the Time of Flight, measured in Time can be negative.

Which unit is used to measure Time of Flight?

Time of Flight is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time of Flight can be measured.

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