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Horizontal Range of Projectile Formula

GoHorizontal Range of Projectile given Horizontal Velocity and Time of Flight Formula

GoMaximum Horizontal Range of Projectile Formula

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Horizontal Range is the total horizontal distance traveled by the particle in a projectile. Check FAQs

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

H - Horizontal Range?v_pm - Initial Velocity of Projectile Motion?α_pr - Angle of Projection?[g] - Gravitational acceleration on Earth?

Horizontal Range of Projectile Example

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Here is how the Horizontal Range of Projectile equation looks like with Values.

Here is how the Horizontal Range of Projectile equation looks like with Units.

Here is how the Horizontal Range of Projectile equation looks like.

91.8356 = \frac{{30.01}^{2} \cdot \sin (2 \cdot 44.99)}{9.8066}

91.8356m = \frac{{30.01m/s}^{2} \cdot \sin (2 \cdot 44.99°)}{9.8066m/s²}

91.8356 = \frac{{30.01}^{2} \cdot \sin (2 \cdot 44.99)}{9.8066}

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Horizontal Range of Projectile Solution

Follow our step by step solution on how to calculate Horizontal Range of Projectile?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

H = \frac{{30.01}^{2} \cdot \sin (2 \cdot 0.7852)}{9.8066}

Next Step Evaluate

∴

H = 91.8356467430065m

LAST Step Rounding Answer

∴

H = 91.8356m

Horizontal Range of Projectile Formula Elements

Variables

Constants

Functions

Horizontal Range

Horizontal Range is the total horizontal distance traveled by the particle in a projectile.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Range

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 to find Horizontal Range

Go Horizontal Range of Projectile given Horizontal Velocity and Time of Flight

H = v h \cdot t pr

Go Maximum Horizontal Range of Projectile

H = \frac{{v pm}^{2}}{[g]}

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 Horizontal Range of Projectile?

Horizontal Range of Projectile evaluator uses Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g] to evaluate the Horizontal Range, Horizontal Range of Projectile formula is defined as the maximum distance that an object can travel horizontally when projected at an angle to the horizontal, taking into account the initial velocity, angle of projection, and acceleration due to gravity, providing a crucial parameter in understanding projectile motion. Horizontal Range is denoted by H symbol.

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

FAQs on Horizontal Range of Projectile

What is the formula to find Horizontal Range of Projectile?

The formula of Horizontal Range of Projectile is expressed as Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g]. Here is an example- 91.83565 = (30.01^2*sin(2*0.785223630472101))/[g].

How to calculate Horizontal Range of Projectile?

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

What are the other ways to Calculate Horizontal Range?

Here are the different ways to Calculate Horizontal Range-

Horizontal Range=Horizontal Component of Velocity*Time Interval
Horizontal Range=Initial Velocity of Projectile Motion^2/[g]

Can the Horizontal Range of Projectile be negative?

No, the Horizontal Range of Projectile, measured in Length cannot be negative.

Which unit is used to measure Horizontal Range of Projectile?

Horizontal Range of Projectile is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Horizontal Range of Projectile can be measured.

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Horizontal Range of Projectile Formula

​GoHorizontal Range of Projectile given Horizontal Velocity and Time of Flight Formula

​GoMaximum Horizontal Range of Projectile Formula

Horizontal Range of Projectile Example

Horizontal Range of Projectile Solution

Horizontal Range of Projectile Formula Elements

Other Formulas to find Horizontal Range

Other formulas in Projectile Motion category

How to Evaluate Horizontal Range of Projectile?

FAQs on Horizontal Range of Projectile

Variable Name

GoHorizontal Range of Projectile given Horizontal Velocity and Time of Flight Formula

GoMaximum Horizontal Range of Projectile Formula