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

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Vertical Component of Velocity is the velocity of the particle which is resolved along vertical direction. Check FAQs

v v = v pm \cdot \sin (α pr)

v_v - Vertical Component of Velocity?v_pm - Initial Velocity of Projectile Motion?α_pr - Angle of Projection?

Vertical Component of Velocity of Particle Projected Upwards from Point at Angle Example

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Here is how the Vertical Component of Velocity of Particle Projected Upwards from Point at Angle equation looks like with Values.

Here is how the Vertical Component of Velocity of Particle Projected Upwards from Point at Angle equation looks like with Units.

Here is how the Vertical Component of Velocity of Particle Projected Upwards from Point at Angle equation looks like.

21.2166 = 30.01 \cdot \sin (44.99)

21.2166m/s = 30.01m/s \cdot \sin (44.99°)

21.2166 = 30.01 \cdot \sin (44.99)

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

Follow our step by step solution on how to calculate Vertical Component of Velocity of Particle Projected Upwards from Point at Angle?

FIRST Step Consider the formula

v v = v pm \cdot \sin (α pr)

Next Step Substitute values of Variables

∴

v v = 30.01m/s \cdot \sin (44.99°)

Next Step Convert Units

∴

v v = 30.01m/s \cdot \sin (0.7852rad)

Next Step Prepare to Evaluate

∴

v v = 30.01 \cdot \sin (0.7852)

Next Step Evaluate

∴

v v = 21.2165705436381m/s

LAST Step Rounding Answer

∴

v v = 21.2166m/s

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

Variables

Functions

Vertical Component of Velocity

Vertical Component of Velocity is the velocity of the particle which is resolved along vertical direction.

Symbol: v_v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Vertical Component of Velocity

Initial Velocity of Projectile Motion

Initial Velocity of Projectile Motion is the velocity at which motion starts.

Symbol: v_pm

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Initial Velocity of Projectile Motion

Angle of Projection

Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.

Symbol: α_pr

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Projection

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.

Syntax: sin(Angle)

Other formulas in Projectile Motion category

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

v h = v pm \cdot \cos (α pr)

Go Initial Velocity of Particle given Horizontal Component of Velocity

v pm = \frac{v h}{\cos (α pr)}

Go Initial Velocity of Particle given Vertical Component of Velocity

v pm = \frac{v v}{\sin (α pr)}

Go Time of Flight of Projectile on Horizontal Plane

t pr = \frac{2 \cdot v pm \cdot \sin (α pr)}{[g]}

How to Evaluate Vertical Component of Velocity of Particle Projected Upwards from Point at Angle?

Vertical Component of Velocity of Particle Projected Upwards from Point at Angle evaluator uses Vertical Component of Velocity = Initial Velocity of Projectile Motion*sin(Angle of Projection) to evaluate the Vertical Component of Velocity, Vertical Component of Velocity of Particle Projected Upwards from Point at Angle formula is defined as the upward velocity of a particle projected at an angle, which is a crucial concept in understanding the motion of projectiles under gravity, and is essential in calculating the maximum height and range of a projectile. Vertical Component of Velocity is denoted by v_v symbol.

How to evaluate Vertical Component of Velocity of Particle Projected Upwards from Point at Angle using this online evaluator? To use this online evaluator for Vertical 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.

FAQs on Vertical Component of Velocity of Particle Projected Upwards from Point at Angle

What is the formula to find Vertical Component of Velocity of Particle Projected Upwards from Point at Angle?

The formula of Vertical Component of Velocity of Particle Projected Upwards from Point at Angle is expressed as Vertical Component of Velocity = Initial Velocity of Projectile Motion*sin(Angle of Projection). Here is an example- 21.22027 = 30.01*sin(0.785223630472101).

How to calculate Vertical Component of Velocity of Particle Projected Upwards from Point at Angle?

With Initial Velocity of Projectile Motion (v_pm) & Angle of Projection (α_pr) we can find Vertical Component of Velocity of Particle Projected Upwards from Point at Angle using the formula - Vertical Component of Velocity = Initial Velocity of Projectile Motion*sin(Angle of Projection). This formula also uses Sine function(s).

Can the Vertical Component of Velocity of Particle Projected Upwards from Point at Angle be negative?

Yes, the Vertical Component of Velocity of Particle Projected Upwards from Point at Angle, measured in Speed can be negative.

Which unit is used to measure Vertical Component of Velocity of Particle Projected Upwards from Point at Angle?

Vertical Component of Velocity of Particle Projected Upwards from Point at Angle is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Vertical Component of Velocity of Particle Projected Upwards from Point at Angle can be measured.

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