Time of Flight for Inclined Projectile 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 Inclination is the angle between the horizontal and the inclined plane, measured counterclockwise from the horizontal.ⓘ Angle of Inclination [θ_inclination]			+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%
✖Angle of Plane is the angle between the plane of motion and the horizontal plane, measured in a clockwise direction from the horizontal plane.ⓘ Angle of Plane [α_pl]			+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 for Inclined Projectile [T]

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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 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 Inclination - (Measured in Radian) - Angle of Inclination is the angle between the horizontal and the inclined plane, measured counterclockwise from the horizontal.
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.
Angle of Plane - (Measured in Radian) - Angle of Plane is the angle between the plane of motion and the horizontal plane, measured in a clockwise direction from the horizontal plane.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required
Angle of Inclination: 0.3827 Radian --> 0.3827 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: 0.405 Radian --> 0.405 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(0.3827))/(9.8*cos(0.405))

Evaluating ... ...

T = 2.90210559182367

STEP 3: Convert Result to Output's Unit

2.90210559182367 Second --> No Conversion Required

FINAL ANSWER

2.90210559182367 ≈ 2.902106 Second <-- Time of Flight

(Calculation completed in 00.011 seconds)

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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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< Projectile Motion Calculators

Maximum Height Attained for Inclined Projectile

LaTeX 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

LaTeX 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

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

Maximum Height Attained by Object

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

Time of Flight for Inclined Projectile Formula

LaTeX Go

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, Time of Flight for Inclined Projectile formula is defined as the duration taken by an object to reach its maximum height and return to the ground when projected at an angle to the horizontal, considering the initial velocity, angle of inclination, and acceleration due to gravity. 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 -> 2.781564 = (2*35*sin(0.3827))/(9.8*cos(0.405)).

FAQ

What is Time of Flight for Inclined Projectile?

Time of Flight for Inclined Projectile formula is defined as the duration taken by an object to reach its maximum height and return to the ground when projected at an angle to the horizontal, considering the initial velocity, angle of inclination, and acceleration due to gravity 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 of an object at the start of a motion, describing the object's initial state of motion, Angle of Inclination is the angle between the horizontal and the inclined plane, measured counterclockwise from the horizontal, 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 & Angle of Plane is the angle between the plane of motion and the horizontal plane, measured in a clockwise direction from the horizontal plane.

How to calculate Time of Flight for Inclined Projectile?

Time of Flight for Inclined Projectile formula is defined as the duration taken by an object to reach its maximum height and return to the ground when projected at an angle to the horizontal, considering the initial velocity, angle of inclination, and acceleration due to gravity 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.

How many ways are there to calculate Time of Flight?

In this formula, Time of Flight uses Initial Velocity, Angle of Inclination, Acceleration due to Gravity & Angle of Plane. 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 Projection))/Acceleration due to Gravity

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