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Velocity of Projectile at given Height above Point of Projection Formula

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Velocity of Projectile refers to its speed and direction of motion at any given instant. Check FAQs

v p = \sqrt{{v pm}^{2} - 2 \cdot [g] \cdot h}

v_p - Velocity of Projectile?v_pm - Initial Velocity of Projectile Motion?h - Height?[g] - Gravitational acceleration on Earth?

Velocity of Projectile at given Height above Point of Projection Example

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Here is how the Velocity of Projectile at given Height above Point of Projection equation looks like with Values.

Here is how the Velocity of Projectile at given Height above Point of Projection equation looks like with Units.

Here is how the Velocity of Projectile at given Height above Point of Projection equation looks like.

25.9817 = \sqrt{{30.01}^{2} - 2 \cdot 9.8066 \cdot 11.5}

25.9817m/s = \sqrt{{30.01m/s}^{2} - 2 \cdot 9.8066m/s² \cdot 11.5m}

25.9817 = \sqrt{{30.01}^{2} - 2 \cdot 9.8066 \cdot 11.5}

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Velocity of Projectile at given Height above Point of Projection Solution

Follow our step by step solution on how to calculate Velocity of Projectile at given Height above Point of Projection?

FIRST Step Consider the formula

v p = \sqrt{{v pm}^{2} - 2 \cdot [g] \cdot h}

Next Step Substitute values of Variables

∴

v p = \sqrt{{30.01m/s}^{2} - 2 \cdot [g] \cdot 11.5m}

Next Step Substitute values of Constants

∴

v p = \sqrt{{30.01m/s}^{2} - 2 \cdot 9.8066m/s² \cdot 11.5m}

Next Step Prepare to Evaluate

∴

v p = \sqrt{{30.01}^{2} - 2 \cdot 9.8066 \cdot 11.5}

Next Step Evaluate

∴

v p = 25.9816694998609m/s

LAST Step Rounding Answer

∴

v p = 25.9817m/s

Velocity of Projectile at given Height above Point of Projection Formula Elements

Variables

Constants

Functions

Velocity of Projectile

Velocity of Projectile refers to its speed and direction of motion at any given instant.

Symbol: v_p

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Projectile

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

Height

Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Velocity of Projectile at given Height above Point of Projection?

Velocity of Projectile at given Height above Point of Projection evaluator uses Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height) to evaluate the Velocity of Projectile, Velocity of Projectile at given Height above Point of Projection formula is defined as the measure of the velocity of a projectile at a specific height above the point of projection, taking into account the initial velocity, acceleration due to gravity, and the height above the point of projection. Velocity of Projectile is denoted by v_p symbol.

How to evaluate Velocity of Projectile at given Height above Point of Projection using this online evaluator? To use this online evaluator for Velocity of Projectile at given Height above Point of Projection, enter Initial Velocity of Projectile Motion (v_pm) & Height (h) and hit the calculate button.

FAQs on Velocity of Projectile at given Height above Point of Projection

What is the formula to find Velocity of Projectile at given Height above Point of Projection?

The formula of Velocity of Projectile at given Height above Point of Projection is expressed as Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height). Here is an example- 25.97012 = sqrt(30.01^2-2*[g]*11.5).

How to calculate Velocity of Projectile at given Height above Point of Projection?

With Initial Velocity of Projectile Motion (v_pm) & Height (h) we can find Velocity of Projectile at given Height above Point of Projection using the formula - Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Velocity of Projectile at given Height above Point of Projection be negative?

No, the Velocity of Projectile at given Height above Point of Projection, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Projectile at given Height above Point of Projection?

Velocity of Projectile at given Height above Point of Projection is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Projectile at given Height above Point of Projection can be measured.

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Velocity of Projectile at given Height above Point of Projection Formula

Velocity of Projectile at given Height above Point of Projection Example

Velocity of Projectile at given Height above Point of Projection Solution

Velocity of Projectile at given Height above Point of Projection Formula Elements

Other formulas in Projectile Motion category

How to Evaluate Velocity of Projectile at given Height above Point of Projection?

FAQs on Velocity of Projectile at given Height above Point of Projection

Variable Name