Horizontal Range of Projectile given Horizontal Velocity and Time of Flight Solution

STEP 0: Pre-Calculation Summary
Formula Used
Horizontal Range = Horizontal Component of Velocity*Time Interval
H = vh*tpr
This formula uses 3 Variables
Variables Used
Horizontal Range - (Measured in Meter) - Horizontal Range is the total horizontal distance traveled by the particle in a projectile.
Horizontal Component of Velocity - (Measured in Meter per Second) - Horizontal Component of Velocity is the velocity of the particle which is resolved along horizontal direction.
Time Interval - (Measured in Second) - Time interval is what a clock reads, it is a scalar quantity.
STEP 1: Convert Input(s) to Base Unit
Horizontal Component of Velocity: 21.5 Meter per Second --> 21.5 Meter per Second No Conversion Required
Time Interval: 4.25 Second --> 4.25 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
H = vh*tpr --> 21.5*4.25
Evaluating ... ...
H = 91.375
STEP 3: Convert Result to Output's Unit
91.375 Meter --> No Conversion Required
FINAL ANSWER
91.375 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
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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

Horizontal Range of Projectile given Horizontal Velocity and Time of Flight Formula

Horizontal Range = Horizontal Component of Velocity*Time Interval
H = vh*tpr

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 given Horizontal Velocity and Time of Flight?

Horizontal Range of Projectile given Horizontal Velocity and Time of Flight calculator uses Horizontal Range = Horizontal Component of Velocity*Time Interval to calculate the Horizontal Range, The Horizontal range of projectile given horizontal velocity and time of flight formula is defined as the product of horizontal component of velocity and time of flight. Horizontal Range is denoted by H symbol.

How to calculate Horizontal Range of Projectile given Horizontal Velocity and Time of Flight using this online calculator? To use this online calculator for Horizontal Range of Projectile given Horizontal Velocity and Time of Flight, enter Horizontal Component of Velocity (vh) & Time Interval (tpr) and hit the calculate button. Here is how the Horizontal Range of Projectile given Horizontal Velocity and Time of Flight calculation can be explained with given input values -> 25.925 = 21.5*4.25.

FAQ

What is Horizontal Range of Projectile given Horizontal Velocity and Time of Flight?
The Horizontal range of projectile given horizontal velocity and time of flight formula is defined as the product of horizontal component of velocity and time of flight and is represented as H = vh*tpr or Horizontal Range = Horizontal Component of Velocity*Time Interval. Horizontal Component of Velocity is the velocity of the particle which is resolved along horizontal direction & Time interval is what a clock reads, it is a scalar quantity.
How to calculate Horizontal Range of Projectile given Horizontal Velocity and Time of Flight?
The Horizontal range of projectile given horizontal velocity and time of flight formula is defined as the product of horizontal component of velocity and time of flight is calculated using Horizontal Range = Horizontal Component of Velocity*Time Interval. To calculate Horizontal Range of Projectile given Horizontal Velocity and Time of Flight, you need Horizontal Component of Velocity (vh) & Time Interval (tpr). With our tool, you need to enter the respective value for Horizontal Component of Velocity & Time Interval 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 Horizontal Component of Velocity & Time Interval. 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 = Initial Velocity of Projectile Motion^2/[g]
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