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Maximum Horizontal Range of Projectile Formula

GoHorizontal Range of Projectile Formula

GoHorizontal Range of Projectile given Horizontal Velocity and Time of Flight 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}}{[g]}

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

Maximum Horizontal Range of Projectile Example

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

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

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

91.8357 = \frac{{30.01}^{2}}{9.8066}

91.8357m = \frac{{30.01m/s}^{2}}{9.8066m/s²}

91.8357 = \frac{{30.01}^{2}}{9.8066}

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Maximum Horizontal Range of Projectile Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = \frac{{30.01m/s}^{2}}{[g]}

Next Step Substitute values of Constants

∴

H = \frac{{30.01m/s}^{2}}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

H = \frac{{30.01}^{2}}{9.8066}

Next Step Evaluate

∴

H = 91.8356523379544m

LAST Step Rounding Answer

∴

H = 91.8357m

Maximum Horizontal Range of Projectile Formula Elements

Variables

Constants

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

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

Other Formulas to find Horizontal Range

Go Horizontal Range of Projectile

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

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

H = v h \cdot t pr

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 Maximum Horizontal Range of Projectile?

Maximum Horizontal Range of Projectile evaluator uses Horizontal Range = Initial Velocity of Projectile Motion^2/[g] to evaluate the Horizontal Range, Maximum Horizontal Range of Projectile formula is defined as the maximum distance a projectile can travel horizontally under the sole influence of gravity, dependent on the initial velocity and angle of projection, and is a fundamental concept in understanding the trajectory of objects under gravity. Horizontal Range is denoted by H symbol.

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

FAQs on Maximum Horizontal Range of Projectile

What is the formula to find Maximum Horizontal Range of Projectile?

The formula of Maximum Horizontal Range of Projectile is expressed as Horizontal Range = Initial Velocity of Projectile Motion^2/[g]. Here is an example- 91.77446 = 30.01^2/[g].

How to calculate Maximum Horizontal Range of Projectile?

With Initial Velocity of Projectile Motion (v_pm) we can find Maximum Horizontal Range of Projectile using the formula - Horizontal Range = Initial Velocity of Projectile Motion^2/[g]. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Horizontal Range?

Here are the different ways to Calculate Horizontal Range-

Horizontal Range=(Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g]
Horizontal Range=Horizontal Component of Velocity*Time Interval

Can the Maximum Horizontal Range of Projectile be negative?

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

Which unit is used to measure Maximum Horizontal Range of Projectile?

Maximum 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 Maximum Horizontal Range of Projectile can be measured.

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