Horizontal Range of Projectile Calculator

✖Initial Velocity of Projectile Motion is the velocity at which motion starts.ⓘ Initial Velocity of Projectile Motion [v_pm]			+10% -10%
✖Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.ⓘ Angle of Projection [α_pr]			+10% -10%

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

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Horizontal Range of Projectile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g]
H = (v_pm^2*sin(2*α_pr))/[g]
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

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

Functions Used

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., sin(Angle)

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.
Angle of Projection - (Measured in Radian) - Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.

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
Angle of Projection: 44.99 Degree --> 0.785223630472101 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (v_pm^2*sin(2*α_pr))/[g] --> (30.01^2*sin(2*0.785223630472101))/[g]

Evaluating ... ...

H = 91.8356467430065

STEP 3: Convert Result to Output's Unit

91.8356467430065 Meter --> No Conversion Required

FINAL ANSWER

91.8356467430065 ≈ 91.83565 Meter <-- Horizontal Range

(Calculation completed in 00.004 seconds)

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Credits

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

Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

< 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)

Horizontal Range of Projectile Formula

LaTeX Go

Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g]
H = (v_pm^2*sin(2*α_pr))/[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 Horizontal Range of Projectile?

Horizontal Range of Projectile calculator uses Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g] to calculate the Horizontal Range, Horizontal Range of Projectile formula is defined as the maximum distance that an object can travel horizontally when projected at an angle to the horizontal, taking into account the initial velocity, angle of projection, and acceleration due to gravity, providing a crucial parameter in understanding projectile motion. Horizontal Range is denoted by H symbol.

How to calculate Horizontal Range of Projectile using this online calculator? To use this online calculator for Horizontal Range of Projectile, enter Initial Velocity of Projectile Motion (v_pm) & Angle of Projection (α_pr) and hit the calculate button. Here is how the Horizontal Range of Projectile calculation can be explained with given input values -> 91.83565 = (30.01^2*sin(2*0.785223630472101))/[g].

FAQ

What is Horizontal Range of Projectile?

Horizontal Range of Projectile formula is defined as the maximum distance that an object can travel horizontally when projected at an angle to the horizontal, taking into account the initial velocity, angle of projection, and acceleration due to gravity, providing a crucial parameter in understanding projectile motion and is represented as H = (v_pm^2*sin(2*α_pr))/[g] or Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g]. Initial Velocity of Projectile Motion is the velocity at which motion starts & Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.

How to calculate Horizontal Range of Projectile?

Horizontal Range of Projectile formula is defined as the maximum distance that an object can travel horizontally when projected at an angle to the horizontal, taking into account the initial velocity, angle of projection, and acceleration due to gravity, providing a crucial parameter in understanding projectile motion is calculated using Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g]. To calculate Horizontal Range of Projectile, you need Initial Velocity of Projectile Motion (v_pm) & Angle of Projection (α_pr). With our tool, you need to enter the respective value for Initial Velocity of Projectile Motion & Angle of Projection 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 & Angle of Projection. We can use 2 other way(s) to calculate the same, which is/are as follows -

Horizontal Range = Horizontal Component of Velocity*Time Interval
Horizontal Range = Initial Velocity of Projectile Motion^2/[g]

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