FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Height of Object given Horizontal Distance Formula

Fx Copy

LaTeX Copy

Height of Crack is the vertical distance of a crack from a reference point, used to analyze and understand the motion of an object or a system. Check FAQs

v = R \cdot \tan (θ pr) - \frac{g \cdot R^{2}}{2 \cdot {(u \cdot \cos (θ pr))}^{2}}

v - Height of Crack?R - Horizontal Distance?θ_pr - Angle of Projection?g - Acceleration due to Gravity?u - Initial Velocity?

Height of Object given Horizontal Distance Example

With values

With units

Only example

Here is how the Height of Object given Horizontal Distance equation looks like with Values.

Here is how the Height of Object given Horizontal Distance equation looks like with Units.

Here is how the Height of Object given Horizontal Distance equation looks like.

0.8267 = 2 \cdot \tan (0.4) - \frac{9.8 \cdot 2^{2}}{2 \cdot {(35 \cdot \cos (0.4))}^{2}}

0.8267m = 2m \cdot \tan (0.4rad) - \frac{9.8m/s² \cdot {2m}^{2}}{2 \cdot {(35m/s \cdot \cos (0.4rad))}^{2}}

0.8267 = 2 \cdot \tan (0.4) - \frac{9.8 \cdot 2^{2}}{2 \cdot {(35 \cdot \cos (0.4))}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx Height of Object given Horizontal Distance

Height of Object given Horizontal Distance Solution

Follow our step by step solution on how to calculate Height of Object given Horizontal Distance?

FIRST Step Consider the formula

v = R \cdot \tan (θ pr) - \frac{g \cdot R^{2}}{2 \cdot {(u \cdot \cos (θ pr))}^{2}}

Next Step Substitute values of Variables

∴

v = 2m \cdot \tan (0.4rad) - \frac{9.8m/s² \cdot {2m}^{2}}{2 \cdot {(35m/s \cdot \cos (0.4rad))}^{2}}

Next Step Prepare to Evaluate

∴

v = 2 \cdot \tan (0.4) - \frac{9.8 \cdot 2^{2}}{2 \cdot {(35 \cdot \cos (0.4))}^{2}}

Next Step Evaluate

∴

v = 0.826726371783348m

LAST Step Rounding Answer

∴

v = 0.8267m

Height of Object given Horizontal Distance Formula Elements

Variables

Functions

Height of Crack

Height of Crack is the vertical distance of a crack from a reference point, used to analyze and understand the motion of an object or a system.

Symbol: v

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Crack

Horizontal Distance

Horizontal Distance is the distance of an object from its initial position to its final position in a specific direction of motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Distance

Angle of Projection

Angle of Projection is the angle at which an object is projected from the ground, influencing its trajectory and range of motion.

Symbol: θ_pr

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle of Projection

Acceleration due to Gravity

Acceleration due to Gravity is the rate of change of velocity of an object under the influence of gravitational force, typically measured in meters per second squared.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Initial Velocity

Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Initial Velocity

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Projectile Motion category

Go Maximum Height Attained for Inclined Projectile

H max = \frac{{(u \cdot \sin (θ inclination))}^{2}}{2 \cdot g \cdot \cos (α pl)}

Go Time of Flight for Inclined Projectile

T = \frac{2 \cdot u \cdot \sin (θ inclination)}{g \cdot \cos (α pl)}

Go Maximum Range of Flight for Inclined Projectile

R motion = \frac{u^{2} \cdot (1 - \sin (α pl))}{g \cdot {(\cos (α pl))}^{2}}

Go Maximum Height Attained by Object

v max = \frac{{(u \cdot \sin (θ pr))}^{2}}{2 \cdot g}

How to Evaluate Height of Object given Horizontal Distance?

Height of Object given Horizontal Distance evaluator uses Height of Crack = Horizontal Distance*tan(Angle of Projection)-(Acceleration due to Gravity*Horizontal Distance^2)/(2*(Initial Velocity*cos(Angle of Projection))^2) to evaluate the Height of Crack, Height of Object given Horizontal Distance formula is defined as a method to determine the height of an object based on its horizontal distance, providing a way to calculate the object's elevation in relation to its horizontal position, which is essential in understanding the kinematics of motion. Height of Crack is denoted by v symbol.

How to evaluate Height of Object given Horizontal Distance using this online evaluator? To use this online evaluator for Height of Object given Horizontal Distance, enter Horizontal Distance (R), Angle of Projection (θ_pr), Acceleration due to Gravity (g) & Initial Velocity (u) and hit the calculate button.

FAQs on Height of Object given Horizontal Distance

What is the formula to find Height of Object given Horizontal Distance?

The formula of Height of Object given Horizontal Distance is expressed as Height of Crack = Horizontal Distance*tan(Angle of Projection)-(Acceleration due to Gravity*Horizontal Distance^2)/(2*(Initial Velocity*cos(Angle of Projection))^2). Here is an example- 0.826726 = 2*tan(0.4)-(9.8*2^2)/(2*(35*cos(0.4))^2).

How to calculate Height of Object given Horizontal Distance?

With Horizontal Distance (R), Angle of Projection (θ_pr), Acceleration due to Gravity (g) & Initial Velocity (u) we can find Height of Object given Horizontal Distance using the formula - Height of Crack = Horizontal Distance*tan(Angle of Projection)-(Acceleration due to Gravity*Horizontal Distance^2)/(2*(Initial Velocity*cos(Angle of Projection))^2). This formula also uses Cosine (cos), Tangent (tan) function(s).

Can the Height of Object given Horizontal Distance be negative?

No, the Height of Object given Horizontal Distance, measured in Length cannot be negative.

Which unit is used to measure Height of Object given Horizontal Distance?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Height of Object given Horizontal Distance Formula

Height of Object given Horizontal Distance Example

Height of Object given Horizontal Distance Solution

Height of Object given Horizontal Distance Formula Elements

Other formulas in Projectile Motion category

How to Evaluate Height of Object given Horizontal Distance?

FAQs on Height of Object given Horizontal Distance

Variable Name