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Maximum Height of Projectile on Horizontal Plane Formula

GoMaximum Height of Projectile on Horizontal Plane given Average Vertical Velocity Formula

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Maximum Height is denoted as the largest distance an object covers in vertical direction in a projectile motion. Check FAQs

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

h_max - Maximum Height?v_pm - Initial Velocity of Projectile Motion?α_pr - Angle of Projection?[g] - Gravitational acceleration on Earth?

Maximum Height of Projectile on Horizontal Plane Example

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Here is how the Maximum Height of Projectile on Horizontal Plane equation looks like with Values.

Here is how the Maximum Height of Projectile on Horizontal Plane equation looks like with Units.

Here is how the Maximum Height of Projectile on Horizontal Plane equation looks like.

22.9509 = \frac{{30.01}^{2} \cdot {\sin (44.99)}^{2}}{2 \cdot 9.8066}

22.9509m = \frac{{30.01m/s}^{2} \cdot {\sin (44.99°)}^{2}}{2 \cdot 9.8066m/s²}

22.9509 = \frac{{30.01}^{2} \cdot {\sin (44.99)}^{2}}{2 \cdot 9.8066}

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Maximum Height of Projectile on Horizontal Plane Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h max = 22.9508989121245m

LAST Step Rounding Answer

∴

h max = 22.9509m

Maximum Height of Projectile on Horizontal Plane Formula Elements

Variables

Constants

Functions

Maximum Height

Maximum Height is denoted as the largest distance an object covers in vertical direction in a projectile motion.

Symbol: h_max

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Height

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 Maximum Height

Go Maximum Height of Projectile on Horizontal Plane given Average Vertical Velocity

h max = v ver \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 Height of Projectile on Horizontal Plane?

Maximum Height of Projectile on Horizontal Plane evaluator uses Maximum Height = (Initial Velocity of Projectile Motion^2*sin(Angle of Projection)^2)/(2*[g]) to evaluate the Maximum Height, Maximum Height of Projectile on Horizontal Plane formula is defined as the highest point reached by an object in a horizontal plane under the sole influence of gravity, where the object is projected with an initial velocity at an angle of elevation, and it depends on the initial velocity and the angle of projection. Maximum Height is denoted by h_max symbol.

How to evaluate Maximum Height of Projectile on Horizontal Plane using this online evaluator? To use this online evaluator for Maximum Height 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 Maximum Height of Projectile on Horizontal Plane

What is the formula to find Maximum Height of Projectile on Horizontal Plane?

The formula of Maximum Height of Projectile on Horizontal Plane is expressed as Maximum Height = (Initial Velocity of Projectile Motion^2*sin(Angle of Projection)^2)/(2*[g]). Here is an example- 22.95891 = (30.01^2*sin(0.785223630472101)^2)/(2*[g]).

How to calculate Maximum Height of Projectile on Horizontal Plane?

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

What are the other ways to Calculate Maximum Height?

Here are the different ways to Calculate Maximum Height-

Maximum Height=Average Vertical Velocity*Time Interval

Can the Maximum Height of Projectile on Horizontal Plane be negative?

No, the Maximum Height of Projectile on Horizontal Plane, measured in Length cannot be negative.

Which unit is used to measure Maximum Height of Projectile on Horizontal Plane?

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

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Maximum Height of Projectile on Horizontal Plane Formula

​GoMaximum Height of Projectile on Horizontal Plane given Average Vertical Velocity Formula

Maximum Height of Projectile on Horizontal Plane Example

Maximum Height of Projectile on Horizontal Plane Solution

Maximum Height of Projectile on Horizontal Plane Formula Elements

Other Formulas to find Maximum Height

Other formulas in Projectile Motion category

How to Evaluate Maximum Height of Projectile on Horizontal Plane?

FAQs on Maximum Height of Projectile on Horizontal Plane

Variable Name

GoMaximum Height of Projectile on Horizontal Plane given Average Vertical Velocity Formula