Time of Flight for Inclined Projectile Calculator

✖Initial Velocity is the velocity at which motion starts.ⓘ Initial Velocity [u]			+10% -10%
✖Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.ⓘ Angle of Inclination [θ_inclination]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Angle of Plane denotes the angle made by the plain.ⓘ Angle of Plane [α_pl]			+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 for Inclined Projectile [T]

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Formula

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Time of Flight for Inclined Projectile

Formula

`"T" = (2*"u"*sin("θ"_{"inclination"}))/("g"*cos("α"_{"pl"}))`

Example

`"9.3156s"=(2*"35m/s"*sin("1.5rad"))/("9.8m/s²"*cos("0.7rad"))`

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Time of Flight for Inclined Projectile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time of Flight = (2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane))
T = (2*u*sin(θ_inclination))/(g*cos(α_pl))
This formula uses 2 Functions, 5 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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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 Inclination - (Measured in Radian) - Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Angle of Plane - (Measured in Radian) - Angle of Plane denotes the angle made by the plain.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required
Angle of Inclination: 1.5 Radian --> 1.5 Radian No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angle of Plane: 0.7 Radian --> 0.7 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (2*u*sin(θ_inclination))/(g*cos(α_pl)) --> (2*35*sin(1.5))/(9.8*cos(0.7))

Evaluating ... ...

T = 9.31560040552363

STEP 3: Convert Result to Output's Unit

9.31560040552363 Second --> No Conversion Required

FINAL ANSWER

9.31560040552363 ≈ 9.3156 Second <-- Time of Flight

(Calculation completed in 00.004 seconds)

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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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< 3 Inclined 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))

Time of Flight for Inclined Projectile Formula

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

What is Inclined Projectile Motion ?

Projectile motion on an inclined plane is one of the various projectile motion types. The main distinguishing aspect is that points of projection and return are not on the same horizontal plane. There are two possibilities : (i) the point of return is at a higher level than the point of projection i.e projectile is thrown up the incline and (ii) the Point of return is at a lower level than a point of projection i.e. projectile is thrown down the incline.

How to Calculate Time of Flight for Inclined Projectile?

Time of Flight for Inclined Projectile calculator uses Time of Flight = (2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane)) to calculate the Time of Flight, The Time of Flight for Inclined Projectile formula is defined as the measurement of the time taken by an object, particle (be it acoustic, electromagnetic, etc.) to travel a distance through a medium during the projectile. Time of Flight is denoted by T symbol.

How to calculate Time of Flight for Inclined Projectile using this online calculator? To use this online calculator for Time of Flight for Inclined Projectile, enter Initial Velocity (u), Angle of Inclination (θ_inclination), Acceleration due to Gravity (g) & Angle of Plane (α_pl) and hit the calculate button. Here is how the Time of Flight for Inclined Projectile calculation can be explained with given input values -> 9.3156 = (2*35*sin(1.5))/(9.8*cos(0.7)).

FAQ

What is Time of Flight for Inclined Projectile?

The Time of Flight for Inclined Projectile formula is defined as the measurement of the time taken by an object, particle (be it acoustic, electromagnetic, etc.) to travel a distance through a medium during the projectile and is represented as T = (2*u*sin(θ_inclination))/(g*cos(α_pl)) or Time of Flight = (2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane)). Initial Velocity is the velocity at which motion starts, Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Angle of Plane denotes the angle made by the plain.

How to calculate Time of Flight for Inclined Projectile?

The Time of Flight for Inclined Projectile formula is defined as the measurement of the time taken by an object, particle (be it acoustic, electromagnetic, etc.) to travel a distance through a medium during the projectile is calculated using Time of Flight = (2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane)). To calculate Time of Flight for Inclined Projectile, you need Initial Velocity (u), Angle of Inclination (θ_inclination), Acceleration due to Gravity (g) & Angle of Plane (α_pl). With our tool, you need to enter the respective value for Initial Velocity, Angle of Inclination, Acceleration due to Gravity & Angle of Plane 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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