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Time of Flight of Projectile on Horizontal Plane Formula

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Time interval is what a clock reads, it is a scalar quantity. Check FAQs

t pr = \frac{2 \cdot v pm \cdot \sin (α pr)}{[g]}

t_pr - Time Interval?v_pm - Initial Velocity of Projectile Motion?α_pr - Angle of Projection?[g] - Gravitational acceleration on Earth?

Time of Flight of Projectile on Horizontal Plane Example

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Here is how the Time of Flight of Projectile on Horizontal Plane equation looks like with Values.

Here is how the Time of Flight of Projectile on Horizontal Plane equation looks like with Units.

Here is how the Time of Flight of Projectile on Horizontal Plane equation looks like.

4.327 = \frac{2 \cdot 30.01 \cdot \sin (44.99)}{9.8066}

4.327s = \frac{2 \cdot 30.01m/s \cdot \sin (44.99°)}{9.8066m/s²}

4.327 = \frac{2 \cdot 30.01 \cdot \sin (44.99)}{9.8066}

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Time of Flight of Projectile on Horizontal Plane Solution

Follow our step by step solution on how to calculate Time of Flight of Projectile on Horizontal Plane?

FIRST Step Consider the formula

t pr = \frac{2 \cdot v pm \cdot \sin (α pr)}{[g]}

Next Step Substitute values of Variables

∴

t pr = \frac{2 \cdot 30.01m/s \cdot \sin (44.99°)}{[g]}

Next Step Substitute values of Constants

∴

t pr = \frac{2 \cdot 30.01m/s \cdot \sin (44.99°)}{9.8066m/s²}

Next Step Convert Units

∴

t pr = \frac{2 \cdot 30.01m/s \cdot \sin (0.7852rad)}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

t pr = \frac{2 \cdot 30.01 \cdot \sin (0.7852)}{9.8066}

Next Step Evaluate

∴

t pr = 4.32697619342754s

LAST Step Rounding Answer

∴

t pr = 4.327s

Time of Flight of Projectile on Horizontal Plane Formula Elements

Variables

Constants

Functions

Time Interval

Time interval is what a clock reads, it is a scalar quantity.

Symbol: t_pr

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Interval

Initial Velocity of Projectile Motion

Initial Velocity of Projectile Motion is the velocity at which motion starts.

Symbol: v_pm

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Initial Velocity of Projectile Motion

Angle of Projection

Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.

Symbol: α_pr

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Projection

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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)

Other formulas in Projectile Motion category

Go Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle

v h = v pm \cdot \cos (α pr)

Go Vertical Component of Velocity of Particle Projected Upwards from Point at Angle

v v = v pm \cdot \sin (α pr)

Go Initial Velocity of Particle given Horizontal Component of Velocity

v pm = \frac{v h}{\cos (α pr)}

Go Initial Velocity of Particle given Vertical Component of Velocity

v pm = \frac{v v}{\sin (α pr)}

How to Evaluate Time of Flight of Projectile on Horizontal Plane?

Time of Flight of Projectile on Horizontal Plane evaluator uses Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g] to evaluate the Time Interval, Time of Flight of Projectile on Horizontal Plane formula is defined as the duration of time taken by an object to travel a certain distance when projected horizontally under the sole influence of gravity, considering the initial velocity and angle of projection. Time Interval is denoted by t_pr symbol.

How to evaluate Time of Flight of Projectile on Horizontal Plane using this online evaluator? To use this online evaluator for Time of Flight of Projectile on Horizontal Plane, enter Initial Velocity of Projectile Motion (v_pm) & Angle of Projection (α_pr) and hit the calculate button.

FAQs on Time of Flight of Projectile on Horizontal Plane

What is the formula to find Time of Flight of Projectile on Horizontal Plane?

The formula of Time of Flight of Projectile on Horizontal Plane is expressed as Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g]. Here is an example- 4.327732 = (2*30.01*sin(0.785223630472101))/[g].

How to calculate Time of Flight of Projectile on Horizontal Plane?

With Initial Velocity of Projectile Motion (v_pm) & Angle of Projection (α_pr) we can find Time of Flight of Projectile on Horizontal Plane using the formula - Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g]. This formula also uses Gravitational acceleration on Earth constant(s) and Sine function(s).

Can the Time of Flight of Projectile on Horizontal Plane be negative?

No, the Time of Flight of Projectile on Horizontal Plane, measured in Time cannot be negative.

Which unit is used to measure Time of Flight of Projectile on Horizontal Plane?

Time of Flight of Projectile on Horizontal Plane 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 of Projectile on Horizontal Plane can be measured.

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Time of Flight of Projectile on Horizontal Plane Formula

Time of Flight of Projectile on Horizontal Plane Example

Time of Flight of Projectile on Horizontal Plane Solution

Time of Flight of Projectile on Horizontal Plane Formula Elements

Other formulas in Projectile Motion category

How to Evaluate Time of Flight of Projectile on Horizontal Plane?

FAQs on Time of Flight of Projectile on Horizontal Plane

Variable Name