Velocity of Projectile at given Height above Point of Projection Calculator

✖Initial Velocity of Projectile Motion is the velocity at which motion starts.ⓘ Initial Velocity of Projectile Motion [v_pm]			+10% -10%
✖Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Height [h]			+10% -10%

✖Velocity of Projectile refers to its speed and direction of motion at any given instant.ⓘ Velocity of Projectile at given Height above Point of Projection [v_p]

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Velocity of Projectile at given Height above Point of Projection Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height)
v_p = sqrt(v_pm^2-2*[g]*h)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

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., sqrt(Number)

Variables Used

Velocity of Projectile - (Measured in Meter per Second) - Velocity of Projectile refers to its speed and direction of motion at any given instant.
Initial Velocity of Projectile Motion - (Measured in Meter per Second) - Initial Velocity of Projectile Motion is the velocity at which motion starts.
Height - (Measured in Meter) - Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity of Projectile Motion: 30.01 Meter per Second --> 30.01 Meter per Second No Conversion Required
Height: 11.5 Meter --> 11.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_p = sqrt(v_pm^2-2*[g]*h) --> sqrt(30.01^2-2*[g]*11.5)

Evaluating ... ...

v_p = 25.9816694998609

STEP 3: Convert Result to Output's Unit

25.9816694998609 Meter per Second --> No Conversion Required

FINAL ANSWER

25.9816694998609 ≈ 25.98167 Meter per Second <-- Velocity of Projectile

(Calculation completed in 00.020 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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National Institute of Technology (NIT), Tiruchirapalli

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< Projectile Motion Calculators

Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle

LaTeX Go Horizontal Component of Velocity = Initial Velocity of Projectile Motion*cos(Angle of Projection)

Initial Velocity of Particle given Horizontal Component of Velocity

LaTeX Go Initial Velocity of Projectile Motion = Horizontal Component of Velocity/cos(Angle of Projection)

Vertical Component of Velocity of Particle Projected Upwards from Point at Angle

LaTeX Go Vertical Component of Velocity = Initial Velocity of Projectile Motion*sin(Angle of Projection)

Initial Velocity of Particle given Vertical Component of Velocity

LaTeX Go Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection)

Velocity of Projectile at given Height above Point of Projection Formula

LaTeX Go

Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height)
v_p = sqrt(v_pm^2-2*[g]*h)

What is projectile motion?

When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration that is directed towards the center of the earth (we assume that the particle remains close to the surface of the earth). The path of such a particle is called a projectile and the motion is called projectile motion.

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

Velocity of Projectile at given Height above Point of Projection calculator uses Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height) to calculate 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 calculate Velocity of Projectile at given Height above Point of Projection using this online calculator? To use this online calculator 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. Here is how the Velocity of Projectile at given Height above Point of Projection calculation can be explained with given input values -> 25.97012 = sqrt(30.01^2-2*[g]*11.5).

FAQ

What is Velocity of Projectile at given Height above Point of Projection?

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 and is represented as v_p = sqrt(v_pm^2-2*[g]*h) or Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height). Initial Velocity of Projectile Motion is the velocity at which motion starts & Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.

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

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 is calculated using Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height). To calculate Velocity of Projectile at given Height above Point of Projection, you need Initial Velocity of Projectile Motion (v_pm) & Height (h). With our tool, you need to enter the respective value for Initial Velocity of Projectile Motion & Height 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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