Height of Object given Horizontal Distance Calculator

✖Horizontal Distance is the distance of an object from its initial position to its final position in a specific direction of motion.ⓘ Horizontal Distance [R]			+10% -10%
✖Angle of Projection is the angle at which an object is projected from the ground, influencing its trajectory and range of motion.ⓘ Angle of Projection [θ_pr]			+10% -10%
✖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.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.ⓘ Initial Velocity [u]			+10% -10%

✖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.ⓘ Height of Object given Horizontal Distance [v]

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Height of Object given Horizontal Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Crack = Horizontal Distance*tan(Angle of Projection)-(Acceleration due to Gravity*Horizontal Distance^2)/(2*(Initial Velocity*cos(Angle of Projection))^2)
v = R*tan(θ_pr)-(g*R^2)/(2*(u*cos(θ_pr))^2)
This formula uses 2 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., tan(Angle)

Variables Used

Height of Crack - (Measured in Meter) - 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.
Horizontal Distance - (Measured in Meter) - Horizontal Distance is the distance of an object from its initial position to its final position in a specific direction of motion.
Angle of Projection - (Measured in Radian) - Angle of Projection is the angle at which an object is projected from the ground, influencing its trajectory and range of motion.
Acceleration due to Gravity - (Measured in Meter per Square Second) - 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.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.

STEP 1: Convert Input(s) to Base Unit

Horizontal Distance: 2 Meter --> 2 Meter No Conversion Required
Angle of Projection: 0.4 Radian --> 0.4 Radian No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = R*tan(θ_pr)-(g*R^2)/(2*(u*cos(θ_pr))^2) --> 2*tan(0.4)-(9.8*2^2)/(2*(35*cos(0.4))^2)

Evaluating ... ...

v = 0.826726371783348

STEP 3: Convert Result to Output's Unit

0.826726371783348 Meter --> No Conversion Required

FINAL ANSWER

0.826726371783348 ≈ 0.826726 Meter <-- Height of Crack

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Projectile Motion Calculators

Maximum Height Attained for Inclined Projectile

LaTeX Go Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane))

Maximum Range of Flight for Inclined Projectile

LaTeX Go Range of Motion = (Initial Velocity^2*(1-sin(Angle of Plane)))/(Acceleration due to Gravity*(cos(Angle of Plane))^2)

Time of Flight for Inclined Projectile

LaTeX Go Time of Flight = (2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane))

Maximum Height Attained by Object

LaTeX Go Maximum Height of Crack = ((Initial Velocity*sin(Angle of Projection))^2)/(2*Acceleration due to Gravity)

Height of Object given Horizontal Distance Formula

LaTeX Go

What is Projectile Motion ?

Projectile motion is a type of two-dimensional motion or motion in a plane. It is assumed that the only force acting on a projectile (the object experiencing projectile motion) is the force due to gravity.

How to Calculate Height of Object given Horizontal Distance?

Height of Object given Horizontal Distance calculator 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 calculate 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 calculate Height of Object given Horizontal Distance using this online calculator? To use this online calculator 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. Here is how the Height of Object given Horizontal Distance calculation can be explained with given input values -> 0.826726 = 2*tan(0.4)-(9.8*2^2)/(2*(35*cos(0.4))^2).

FAQ

What is Height of Object given Horizontal Distance?

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 and is represented as v = R*tan(θ_pr)-(g*R^2)/(2*(u*cos(θ_pr))^2) or Height of Crack = Horizontal Distance*tan(Angle of Projection)-(Acceleration due to Gravity*Horizontal Distance^2)/(2*(Initial Velocity*cos(Angle of Projection))^2). Horizontal Distance is the distance of an object from its initial position to its final position in a specific direction of motion, Angle of Projection is the angle at which an object is projected from the ground, influencing its trajectory and range of motion, 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 & Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.

How to calculate Height of Object given Horizontal Distance?

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 is calculated using 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 calculate Height of Object given Horizontal Distance, you need Horizontal Distance (R), Angle of Projection (θ_pr), Acceleration due to Gravity (g) & Initial Velocity (u). With our tool, you need to enter the respective value for Horizontal Distance, Angle of Projection, Acceleration due to Gravity & Initial Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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