Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle Calculator

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✖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 Component of Velocity is the velocity of the particle which is resolved along horizontal direction.ⓘ Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle [v_h]

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Formula

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Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle

Formula

`"v"_{"h"} = "v"_{"pm"}*cos("α"_{"pr"})`

Example

`"21.22398m/s"="30.01m/s"*cos("44.99°")`

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Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Component of Velocity = Initial Velocity of Projectile Motion*cos(Angle of Projection)
v_h = v_pm*cos(α_pr)
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

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.
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

v_h = v_pm*cos(α_pr) --> 30.01*cos(0.785223630472101)

Evaluating ... ...

v_h = 21.223977816772

STEP 3: Convert Result to Output's Unit

21.223977816772 Meter per Second --> No Conversion Required

FINAL ANSWER

21.223977816772 ≈ 21.22398 Meter per Second <-- Horizontal Component of Velocity

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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 Component of Velocity of Particle Projected Upwards from Point at Angle Formula

Horizontal Component of Velocity = Initial Velocity of Projectile Motion*cos(Angle of Projection)
v_h = v_pm*cos(α_pr)

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 Component of Velocity of Particle Projected Upwards from Point at Angle?

Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle calculator uses Horizontal Component of Velocity = Initial Velocity of Projectile Motion*cos(Angle of Projection) to calculate the Horizontal Component of Velocity, The Horizontal component of velocity of particle projected upwards from point at angle formula is defined as the product of initial velocity of the particle and cosine of angle of projection. Horizontal Component of Velocity is denoted by v_h symbol.

How to calculate Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle using this online calculator? To use this online calculator for Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle, enter Initial Velocity of Projectile Motion (v_pm) & Angle of Projection (α_pr) and hit the calculate button. Here is how the Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle calculation can be explained with given input values -> 21.22027 = 30.01*cos(0.785223630472101).

FAQ

What is Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle?

The Horizontal component of velocity of particle projected upwards from point at angle formula is defined as the product of initial velocity of the particle and cosine of angle of projection and is represented as v_h = v_pm*cos(α_pr) or Horizontal Component of Velocity = Initial Velocity of Projectile Motion*cos(Angle of Projection). 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 Component of Velocity of Particle Projected Upwards from Point at Angle?

The Horizontal component of velocity of particle projected upwards from point at angle formula is defined as the product of initial velocity of the particle and cosine of angle of projection is calculated using Horizontal Component of Velocity = Initial Velocity of Projectile Motion*cos(Angle of Projection). To calculate Horizontal Component of Velocity of Particle Projected Upwards from Point at Angle, 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.

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