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Time 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 inclination)}{g \cdot \cos (α pl)}

T - Time of Flight?u - Initial Velocity?θ_inclination - Angle of Inclination?g - Acceleration due to Gravity?α_pl - Angle of Plane?

Time of Flight for Inclined Projectile Example

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

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

Here is how the Time of Flight for Inclined Projectile equation looks like.

2.9021 = \frac{2 \cdot 35 \cdot \sin (0.3827)}{9.8 \cdot \cos (0.405)}

2.9021s = \frac{2 \cdot 35m/s \cdot \sin (0.3827rad)}{9.8m/s² \cdot \cos (0.405rad)}

2.9021 = \frac{2 \cdot 35 \cdot \sin (0.3827)}{9.8 \cdot \cos (0.405)}

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Time of Flight for Inclined Projectile Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = \frac{2 \cdot 35m/s \cdot \sin (0.3827rad)}{9.8m/s² \cdot \cos (0.405rad)}

Next Step Prepare to Evaluate

∴

T = \frac{2 \cdot 35 \cdot \sin (0.3827)}{9.8 \cdot \cos (0.405)}

Next Step Evaluate

∴

T = 2.90210559182367s

LAST Step Rounding Answer

∴

T = 2.9021s

Time of Flight for Inclined Projectile 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 Inclination

Angle of Inclination is the angle between the horizontal and the inclined plane, measured counterclockwise from the horizontal.

Symbol: θ_inclination

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

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

Angle of Plane

Angle of Plane is the angle between the plane of motion and the horizontal plane, measured in a clockwise direction from the horizontal plane.

Symbol: α_pl

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle of Plane

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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Time of Flight

Go Time of Flight

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

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 for Inclined Projectile?

Time of Flight for Inclined Projectile evaluator uses Time of Flight = (2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane)) to evaluate 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 evaluate Time of Flight for Inclined Projectile using this online evaluator? To use this online evaluator 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.

FAQs on Time of Flight for Inclined Projectile

What is the formula to find Time of Flight for Inclined Projectile?

The formula of Time of Flight for Inclined Projectile is expressed as Time of Flight = (2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane)). Here is an example- 2.781564 = (2*35*sin(0.3827))/(9.8*cos(0.405)).

How to calculate Time of Flight for Inclined Projectile?

With Initial Velocity (u), Angle of Inclination (θ_inclination), Acceleration due to Gravity (g) & Angle of Plane (α_pl) we can find Time of Flight for Inclined Projectile using the formula - Time of Flight = (2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane)). This formula also uses Sine (sin), Cosine (cos) 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 Projection))/Acceleration due to Gravity

Can the Time of Flight for Inclined Projectile be negative?

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

Which unit is used to measure Time of Flight for Inclined Projectile?

Time of Flight for Inclined Projectile 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 for Inclined Projectile can be measured.

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Time of Flight for Inclined Projectile Formula

​GoTime of Flight Formula

Time of Flight for Inclined Projectile Example

Time of Flight for Inclined Projectile Solution

Time of Flight for Inclined Projectile Formula Elements

Other Formulas to find Time of Flight

Other formulas in Projectile Motion category

How to Evaluate Time of Flight for Inclined Projectile?

FAQs on Time of Flight for Inclined Projectile

Variable Name

GoTime of Flight Formula