Initial Velocity of Particle given Horizontal Component of Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Velocity of Projectile Motion = Horizontal Component of Velocity/cos(Angle of Projection)
vpm = vh/cos(αpr)
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Initial Velocity of Projectile Motion - (Measured in Meter per Second) - Initial Velocity of Projectile Motion is the velocity at which motion starts.
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.
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
Horizontal Component of Velocity: 21.5 Meter per Second --> 21.5 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
vpm = vh/cos(αpr) --> 21.5/cos(0.785223630472101)
Evaluating ... ...
vpm = 30.4002862031889
STEP 3: Convert Result to Output's Unit
30.4002862031889 Meter per Second --> No Conversion Required
FINAL ANSWER
30.4002862031889 30.40029 Meter per Second <-- Initial Velocity of Projectile Motion
(Calculation completed in 00.020 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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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

Initial Velocity of Particle given Horizontal Component of Velocity Formula

Initial Velocity of Projectile Motion = Horizontal Component of Velocity/cos(Angle of Projection)
vpm = vh/cos(αpr)

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 Initial Velocity of Particle given Horizontal Component of Velocity?

Initial Velocity of Particle given Horizontal Component of Velocity calculator uses Initial Velocity of Projectile Motion = Horizontal Component of Velocity/cos(Angle of Projection) to calculate the Initial Velocity of Projectile Motion, The Initial velocity of particle given horizontal component of velocity formula is defined as the ratio of horizontal component of velocity to the cosine of angle of projection. Initial Velocity of Projectile Motion is denoted by vpm symbol.

How to calculate Initial Velocity of Particle given Horizontal Component of Velocity using this online calculator? To use this online calculator for Initial Velocity of Particle given Horizontal Component of Velocity, enter Horizontal Component of Velocity (vh) & Angle of Projection pr) and hit the calculate button. Here is how the Initial Velocity of Particle given Horizontal Component of Velocity calculation can be explained with given input values -> 30.40559 = 21.5/cos(0.785223630472101).

FAQ

What is Initial Velocity of Particle given Horizontal Component of Velocity?
The Initial velocity of particle given horizontal component of velocity formula is defined as the ratio of horizontal component of velocity to the cosine of angle of projection and is represented as vpm = vh/cos(αpr) or Initial Velocity of Projectile Motion = Horizontal Component of Velocity/cos(Angle of Projection). Horizontal Component of Velocity is the velocity of the particle which is resolved along horizontal direction & Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.
How to calculate Initial Velocity of Particle given Horizontal Component of Velocity?
The Initial velocity of particle given horizontal component of velocity formula is defined as the ratio of horizontal component of velocity to the cosine of angle of projection is calculated using Initial Velocity of Projectile Motion = Horizontal Component of Velocity/cos(Angle of Projection). To calculate Initial Velocity of Particle given Horizontal Component of Velocity, you need Horizontal Component of Velocity (vh) & Angle of Projection pr). With our tool, you need to enter the respective value for Horizontal Component of Velocity & 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 Initial Velocity of Projectile Motion?
In this formula, Initial Velocity of Projectile Motion uses Horizontal Component of Velocity & Angle of Projection. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection)
  • Initial Velocity of Projectile Motion = ([g]*Time Interval)/(2*sin(Angle of Projection))
  • Initial Velocity of Projectile Motion = sqrt(Maximum Horizontal Range*[g])
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