Maximum Horizontal Range of Projectile Solution

STEP 0: Pre-Calculation Summary
Formula Used
Horizontal Range = Initial Velocity of Projectile Motion^2/[g]
H = vpm^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 = vpm^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)

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!

14 Projectile Motion Calculators

Direction of Projectile at given Height above Point of Projection
Go Direction of Motion of a Particle = atan((sqrt((Initial Velocity of Projectile Motion^2*(sin(Angle of Projection))^2)-2*[g]*Height))/(Initial Velocity of Projectile Motion*cos(Angle of Projection)))
Maximum Height of Projectile on Horizontal Plane
Go Maximum Height = (Initial Velocity of Projectile Motion^2*sin(Angle of Projection)^2)/(2*[g])
Horizontal Range of Projectile
Go Horizontal Range = (Initial Velocity of Projectile Motion^2*sin(2*Angle of Projection))/[g]
Initial Velocity of Particle given Time of Flight of Projectile
Go Initial Velocity of Projectile Motion = ([g]*Time Interval)/(2*sin(Angle of Projection))
Time of Flight of Projectile on Horizontal Plane
Go Time Interval = (2*Initial Velocity of Projectile Motion*sin(Angle of Projection))/[g]
Velocity of Projectile at given Height above Point of Projection
Go Velocity of Projectile = sqrt(Initial Velocity of Projectile Motion^2-2*[g]*Height)
Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle
Go Horizontal Component of Velocity = Initial Velocity of Projectile Motion*cos(Angle of Projection)
Initial Velocity of Particle given Horizontal Component of Velocity
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
Go Vertical Component of Velocity = Initial Velocity of Projectile Motion*sin(Angle of Projection)
Initial Velocity of Particle given Vertical Component of Velocity
Go Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection)
Initial Velocity given Maximum Horizontal Range of Projectile
Go Initial Velocity of Projectile Motion = sqrt(Maximum Horizontal Range*[g])
Horizontal Range of Projectile given Horizontal Velocity and Time of Flight
Go Horizontal Range = Horizontal Component of Velocity*Time Interval
Maximum Horizontal Range of Projectile
Go Horizontal Range = Initial Velocity of Projectile Motion^2/[g]
Maximum Height of Projectile on Horizontal Plane given Average Vertical Velocity
Go Maximum Height = Average Vertical Velocity*Time Interval

Maximum Horizontal Range of Projectile Formula

Horizontal Range = Initial Velocity of Projectile Motion^2/[g]
H = vpm^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, The Maximum horizontal range of projectile formula is defined as the ratio of square of initial velocity to the acceleration due to 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 (vpm) 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?
The Maximum horizontal range of projectile formula is defined as the ratio of square of initial velocity to the acceleration due to gravity and is represented as H = vpm^2/[g] or Horizontal Range = Initial Velocity of Projectile Motion^2/[g]. Initial Velocity of Projectile Motion is the velocity at which motion starts.
How to calculate Maximum Horizontal Range of Projectile?
The Maximum horizontal range of projectile formula is defined as the ratio of square of initial velocity to the acceleration due to 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 (vpm). 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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