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Initial Velocity of Particle given Vertical Component of Velocity Formula

GoInitial Velocity of Particle given Horizontal Component of Velocity Formula

GoInitial Velocity of Particle given Time of Flight of Projectile Formula

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

v pm = \frac{v v}{\sin (α pr)}

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

Initial Velocity of Particle given Vertical Component of Velocity Example

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Here is how the Initial Velocity of Particle given Vertical Component of Velocity equation looks like with Values.

Here is how the Initial Velocity of Particle given Vertical Component of Velocity equation looks like with Units.

Here is how the Initial Velocity of Particle given Vertical Component of Velocity equation looks like.

31.1181 = \frac{22}{\sin (44.99)}

31.1181m/s = \frac{22m/s}{\sin (44.99°)}

31.1181 = \frac{22}{\sin (44.99)}

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Initial Velocity of Particle given Vertical Component of Velocity Solution

Follow our step by step solution on how to calculate Initial Velocity of Particle given Vertical Component of Velocity?

FIRST Step Consider the formula

v pm = \frac{v v}{\sin (α pr)}

Next Step Substitute values of Variables

∴

v pm = \frac{22m/s}{\sin (44.99°)}

Next Step Convert Units

∴

v pm = \frac{22m/s}{\sin (0.7852rad)}

Next Step Prepare to Evaluate

∴

v pm = \frac{22}{\sin (0.7852)}

Next Step Evaluate

∴

v pm = 31.1181299843943m/s

LAST Step Rounding Answer

∴

v pm = 31.1181m/s

Initial Velocity of Particle given Vertical Component of Velocity Formula Elements

Variables

Functions

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

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

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 to find Initial Velocity of Projectile Motion

Go Initial Velocity of Particle given Horizontal Component of Velocity

v pm = \frac{v h}{\cos (α pr)}

Go Initial Velocity of Particle given Time of Flight of Projectile

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

Go Initial Velocity given Maximum Horizontal Range of Projectile

v pm = \sqrt{H max \cdot [g]}

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

v v = v pm \cdot \sin (α pr)

Go Time of Flight of Projectile on Horizontal Plane

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

Go Horizontal Range of Projectile

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

How to Evaluate Initial Velocity of Particle given Vertical Component of Velocity?

Initial Velocity of Particle given Vertical Component of Velocity evaluator uses Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection) to evaluate 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 evaluate Initial Velocity of Particle given Vertical Component of Velocity using this online evaluator? To use this online evaluator 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.

FAQs on Initial Velocity of Particle given Vertical Component of Velocity

What is the formula to find Initial Velocity of Particle given Vertical Component of Velocity?

The formula of Initial Velocity of Particle given Vertical Component of Velocity is expressed as Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection). Here is an example- 31.1127 = 22/sin(0.785223630472101).

How to calculate Initial Velocity of Particle given Vertical Component of Velocity?

With Vertical Component of Velocity (v_v) & Angle of Projection (α_pr) we can find Initial Velocity of Particle given Vertical Component of Velocity using the formula - Initial Velocity of Projectile Motion = Vertical Component of Velocity/sin(Angle of Projection). This formula also uses Sine function(s).

What are the other ways to Calculate Initial Velocity of Projectile Motion?

Here are the different ways to Calculate Initial Velocity of Projectile Motion-

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])

Can the Initial Velocity of Particle given Vertical Component of Velocity be negative?

No, the Initial Velocity of Particle given Vertical Component of Velocity, measured in Speed cannot be negative.

Which unit is used to measure Initial Velocity of Particle given Vertical Component of Velocity?

Initial Velocity of Particle given Vertical Component of Velocity 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 Initial Velocity of Particle given Vertical Component of Velocity can be measured.

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