Time of Flight Calculator

✖Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.ⓘ Initial Velocity [u]			+10% -10%
✖Angle of Projection is the angle at which an object is projected from the ground, influencing its trajectory and range of motion.ⓘ Angle of Projection [θ_pr]			+10% -10%
✖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.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖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.ⓘ Time of Flight [T]

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Formula

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Time of Flight

Formula

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

Example

2.78156 s = \frac{2 \cdot 35 m/s \cdot \sin (0.4 rad)}{9.8 m/s²}

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Time of Flight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/Acceleration due to Gravity
T = (2*u*sin(θ_pr))/g
This formula uses 1 Functions, 4 Variables

Functions Used

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., sin(Angle)

Variables Used

Time of Flight - (Measured in Second) - 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.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.
Angle of Projection - (Measured in Radian) - Angle of Projection is the angle at which an object is projected from the ground, influencing its trajectory and range of motion.
Acceleration due to Gravity - (Measured in Meter per Square Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required
Angle of Projection: 0.4 Radian --> 0.4 Radian No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (2*u*sin(θ_pr))/g --> (2*35*sin(0.4))/9.8

Evaluating ... ...

T = 2.78155958791893

STEP 3: Convert Result to Output's Unit

2.78155958791893 Second --> No Conversion Required

FINAL ANSWER

2.78155958791893 ≈ 2.78156 Second <-- Time of Flight

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Kinematics of Motion » Mechanical » Projectile Motion » Time of Flight

Credits

Created by Mayank Tayal

National Institute of Technology (NIT), Durgapur

Mayank Tayal has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Projectile Motion Calculators

Maximum Height Attained for Inclined Projectile

Go Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane))

Maximum Range of Flight for Inclined Projectile

Go Range of Motion = (Initial Velocity^2*(1-sin(Angle of Plane)))/(Acceleration due to Gravity*(cos(Angle of Plane))^2)

Time of Flight for Inclined Projectile

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

Maximum Height Attained by Object

Go Maximum Height of Crack = ((Initial Velocity*sin(Angle of Projection))^2)/(2*Acceleration due to Gravity)

Time of Flight Formula

Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/Acceleration due to Gravity
T = (2*u*sin(θ_pr))/g

What is Projectile Motion ?

Projectile motion is a type of two-dimensional motion or motion in a plane. It is assumed that the only force acting on a projectile (the object experiencing projectile motion) is the force due to gravity.

How to Calculate Time of Flight?

Time of Flight calculator uses Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/Acceleration due to Gravity to calculate 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 calculate Time of Flight using this online calculator? To use this online calculator for Time of Flight, enter Initial Velocity (u), Angle of Projection (θ_pr) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Time of Flight calculation can be explained with given input values -> 2.78156 = (2*35*sin(0.4))/9.8.

FAQ

What is 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 and is represented as T = (2*u*sin(θ_pr))/g or Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/Acceleration due to Gravity. Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion, Angle of Projection is the angle at which an object is projected from the ground, influencing its trajectory and range of motion & 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.

How to calculate 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 is calculated using Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/Acceleration due to Gravity. To calculate Time of Flight, you need Initial Velocity (u), Angle of Projection (θ_pr) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Initial Velocity, Angle of Projection & Acceleration due to Gravity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Time of Flight?

In this formula, Time of Flight uses Initial Velocity, Angle of Projection & Acceleration due to Gravity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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