Maximum Horizontal Range of Projectile Calculator

✖Initial Velocity of Projectile Motion is the velocity at which motion starts.ⓘ Initial Velocity of Projectile Motion [v_pm]

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✖Horizontal Range is the total horizontal distance traveled by the particle in a projectile.ⓘ Maximum Horizontal Range of Projectile [H]

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Maximum Horizontal Range of Projectile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Range = Initial Velocity of Projectile Motion^2/[g]
H = v_pm^2/[g]
This formula uses 1 Constants, 2 Variables

Constants Used

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

Variables Used

Horizontal Range - (Measured in Meter) - Horizontal Range is the total horizontal distance traveled by the particle in a projectile.
Initial Velocity of Projectile Motion - (Measured in Meter per Second) - Initial Velocity of Projectile Motion is the velocity at which motion starts.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = v_pm^2/[g] --> 30.01^2/[g]

Evaluating ... ...

H = 91.8356523379544

STEP 3: Convert Result to Output's Unit

91.8356523379544 Meter --> No Conversion Required

FINAL ANSWER

91.8356523379544 ≈ 91.83565 Meter <-- Horizontal Range

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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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)

Maximum Horizontal Range of Projectile Formula

LaTeX Go

Horizontal Range = Initial Velocity of Projectile Motion^2/[g]
H = v_pm^2/[g]

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 Maximum Horizontal Range of Projectile?

Maximum Horizontal Range of Projectile calculator uses Horizontal Range = Initial Velocity of Projectile Motion^2/[g] to calculate the Horizontal Range, Maximum Horizontal Range of Projectile formula is defined as the maximum distance a projectile can travel horizontally under the sole influence of gravity, dependent on the initial velocity and angle of projection, and is a fundamental concept in understanding the trajectory of objects under gravity. Horizontal Range is denoted by H symbol.

How to calculate Maximum Horizontal Range of Projectile using this online calculator? To use this online calculator for Maximum Horizontal Range of Projectile, enter Initial Velocity of Projectile Motion (v_pm) and hit the calculate button. Here is how the Maximum Horizontal Range of Projectile calculation can be explained with given input values -> 91.77446 = 30.01^2/[g].

FAQ

What is Maximum Horizontal Range of Projectile?

How to calculate Maximum Horizontal Range of Projectile?

Maximum Horizontal Range of Projectile formula is defined as the maximum distance a projectile can travel horizontally under the sole influence of gravity, dependent on the initial velocity and angle of projection, and is a fundamental concept in understanding the trajectory of objects under gravity is calculated using Horizontal Range = Initial Velocity of Projectile Motion^2/[g]. To calculate Maximum Horizontal Range of Projectile, you need Initial Velocity of Projectile Motion (v_pm). With our tool, you need to enter the respective value for Initial Velocity of Projectile Motion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Horizontal Range?

In this formula, Horizontal Range uses Initial Velocity of Projectile Motion. We can use 2 other way(s) to calculate the same, which is/are as follows -

Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g]
Horizontal Range = Horizontal Component of Velocity*Time Interval

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