Time of Flight Calculator

✖Initial Velocity is the velocity at which motion starts.ⓘ Initial Velocity [u]			+10% -10%
✖Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.ⓘ Angle of Projection [θ_pr]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Time of Flight is defined as the time taken by the liquid particle in a liquid jet to reach from origin to maximum horizontal distance.ⓘ Time of Flight [T]

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Formula

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Time of Flight

Formula

`"T" = (2*"u"*sin("θ"_{"pr"}))/"g"`

Example

`"2.78156s"=(2*"35m/s"*sin("0.4rad"))/"9.8m/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 defined as the time taken by the liquid particle in a liquid jet to reach from origin to maximum horizontal distance.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity at which motion starts.
Angle of Projection - (Measured in Radian) - Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

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 » Projectile Motion ( object thrown at some angle 'theta' ) » Time of Flight

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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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< 7 Projectile Motion ( object thrown at some angle 'theta' ) Calculators

Height of Object given Horizontal Distance

Go Height of Crack = Horizontal Distance*tan(Angle of Projection)-(Acceleration due to Gravity*Horizontal Distance^2)/(2*(Initial Velocity*cos(Angle of Projection))^2)

Initial Speed given Maximum Height

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

Initial Velocity using Range

Go Initial Velocity = sqrt(Acceleration due to Gravity*Range of Motion/sin(2*Angle of Projection))

Maximum Height Attained by Object

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

Range of Projectile Motion

Go Range of Motion = (Initial Velocity^2*sin(2*Angle of Projection))/Acceleration due to Gravity

Initial Speed using Time of Flight

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

Time of Flight

Go Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/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, The Time of flight formula is defined as the measurement of the time taken by an object, particle to travel a distance during the projectile 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?

The Time of flight formula is defined as the measurement of the time taken by an object, particle to travel a distance during the projectile 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 at which motion starts, Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity & Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Time of Flight?

The Time of flight formula is defined as the measurement of the time taken by an object, particle to travel a distance during the projectile 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.

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