Initial Velocity of Particle given Vertical Component of Velocity Calculator

✖Vertical Component of Velocity is the velocity of the particle which is resolved along vertical direction.ⓘ Vertical Component of Velocity [v_v]			+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%

✖Initial Velocity of Projectile Motion is the velocity at which motion starts.ⓘ Initial Velocity of Particle given Vertical Component of Velocity [v_pm]

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Initial Velocity of Particle given Vertical Component of Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection)
v_pm = v_v/sin(α_pr)
This formula uses 1 Functions, 3 Variables

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

Initial Velocity of Projectile Motion - (Measured in Meter per Second) - Initial Velocity of Projectile Motion is the velocity at which motion starts.
Vertical Component of Velocity - (Measured in Meter per Second) - Vertical Component of Velocity is the velocity of the particle which is resolved along vertical 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

Vertical Component of Velocity: 22 Meter per Second --> 22 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_pm = v_v/sin(α_pr) --> 22/sin(0.785223630472101)

Evaluating ... ...

v_pm = 31.1181299843943

STEP 3: Convert Result to Output's Unit

31.1181299843943 Meter per Second --> No Conversion Required

FINAL ANSWER

31.1181299843943 ≈ 31.11813 Meter per Second <-- Initial Velocity of Projectile Motion

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< 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)

Initial Velocity of Particle given Vertical Component of Velocity Formula

LaTeX Go

Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection)
v_pm = v_v/sin(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 Initial Velocity of Particle given Vertical Component of Velocity?

Initial Velocity of Particle given Vertical Component of Velocity calculator uses Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection) to calculate the Initial Velocity of Projectile Motion, Initial Velocity of Particle given Vertical Component of Velocity formula is defined as a measure of the initial velocity of a particle in terms of its vertical component of velocity and the angle of projection, providing a fundamental concept in understanding the motion of particles under gravity. Initial Velocity of Projectile Motion is denoted by v_pm symbol.

How to calculate Initial Velocity of Particle given Vertical Component of Velocity using this online calculator? To use this online calculator for Initial Velocity of Particle given Vertical Component of Velocity, enter Vertical Component of Velocity (v_v) & Angle of Projection (α_pr) and hit the calculate button. Here is how the Initial Velocity of Particle given Vertical Component of Velocity calculation can be explained with given input values -> 31.1127 = 22/sin(0.785223630472101).

FAQ

What is Initial Velocity of Particle given Vertical Component of Velocity?

Initial Velocity of Particle given Vertical Component of Velocity formula is defined as a measure of the initial velocity of a particle in terms of its vertical component of velocity and the angle of projection, providing a fundamental concept in understanding the motion of particles under gravity and is represented as v_pm = v_v/sin(α_pr) or Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection). Vertical Component of Velocity is the velocity of the particle which is resolved along vertical 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 Vertical Component of Velocity?

Initial Velocity of Particle given Vertical Component of Velocity formula is defined as a measure of the initial velocity of a particle in terms of its vertical component of velocity and the angle of projection, providing a fundamental concept in understanding the motion of particles under gravity is calculated using Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection). To calculate Initial Velocity of Particle given Vertical Component of Velocity, you need Vertical Component of Velocity (v_v) & Angle of Projection (α_pr). With our tool, you need to enter the respective value for Vertical 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 Vertical 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 = Horizontal Component of Velocity/cos(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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