Initial Velocity when Range is given Calculator

Category	Physics ↺
Physics	Theory of Machine ↺
Theory-Of-Machine	Kinematics of Motion ↺
Kinematics-Of-Motion	Projectile Motion ( object thrown at some angle 'theta' ) ↺

✖The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due To Gravity [g]			+10% -10%
✖Range of Motion is defined as the total horizontal distance travelled by the object in a projectile motionⓘ Range of Motion [R]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [ϑ]			+10% -10%

✖Initial Velocity is the velocity at which motion starts.ⓘ Initial Velocity when Range is given [u]

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Initial Velocity when Range is given

Mayank Tayal

National Institute of Technology (NIT), Durgapur

Mayank Tayal has created this Calculator and 0+ more calculators!

Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 50+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Final Velocity of freely falling body from height h, when it reaches ground

Velocity on reaching ground=sqrt(2*Acceleration Due To Gravity*Height) GO

Force of Friction between the cylinder and the surface of inclined plane if cylinder is rolling without slipping down a ramp

Force=(Mass*Acceleration Due To Gravity*sin(Angle of Inclination))/3 GO

Archimedes Principle

Archimedes Principle=Density*Acceleration Due To Gravity*Velocity GO

Potential Energy

Potential Energy=Mass*Acceleration Due To Gravity*Height GO

The radius of the circumscribed circle in terms of cosine of the angle that adjacent to the diagonal and the adjacent side of

Radius Of Circumscribed Circle=Breadth/2*cos(Theta) GO

Pressure when density and height are given

Pressure=Density*Acceleration Due To Gravity*Height GO

Angle between the rectangle diagonals when angle between the diagonal and rectangle side is given

Angle Between Two Diagonals=2*Theta GO

Area of rectangle in terms of sine of the acute angle between the diagonals and the diagonal of a rectangle

Area=((Diagonal)^2*sin(Theta))/2 GO

Breadth of rectangle when diagonal and angle between diagonals are given

Breadth=Diagonal*cos(Theta/2) GO

Rectangle diagonal in terms of cosine of the angle that adjacent to the diagonal and the adjacent side of the angle

Diagonal=Breadth/cos(Theta) GO

Rectangle diagonal in terms of sine of the angle

Diagonal=Length/sin(Theta) GO

< 2 Other formulas that calculate the same Output

Initial Speed when Maximum Height is given

Initial Velocity=sqrt(Maximum Height*2*Acceleration Due To Gravity)/sin(Theta) GO

Initial Speed when time of flight is given

Initial Velocity=(Time*Acceleration Due To Gravity)/(2*sin(Theta)) GO

Initial Velocity when Range is given Formula

Initial Velocity=sqrt(Acceleration Due To Gravity*Range of Motion/sin(2*Theta))

More formulas

Maximum height attained by object GO

Time of flight GO

Range of motion GO

Initial Speed when time of flight is given GO

Initial Speed when Maximum Height is given GO

Maximum Height attained GO

Time of Flight for Inclined Projectile GO

Maximum Range of Flight GO

What is Projectile Motion ?

Projectile motion is a type of two-dimensional motion or motion in a plane. It is assumed that the only force acting on a projectile (the object experiencing projectile motion) is the force due to gravity.

How to Calculate Initial Velocity when Range is given?

Initial Velocity when Range is given calculator uses Initial Velocity=sqrt(Acceleration Due To Gravity*Range of Motion/sin(2*Theta)) to calculate the Initial Velocity, The Initial Velocity when Range is given formula is defined as sqrt ( acceleration_due_to_gravity * range_of_motion / sin ( 2 * theta ) ) Obtained by formula of calculating Range. Initial Velocity and is denoted by u symbol.

How to calculate Initial Velocity when Range is given using this online calculator? To use this online calculator for Initial Velocity when Range is given, enter Acceleration Due To Gravity (g), Theta (ϑ) and Range of Motion (R) and hit the calculate button. Here is how the Initial Velocity when Range is given calculation can be explained with given input values -> 3.363936 = sqrt(9.8*1/sin(2*30)).

FAQ

What is Initial Velocity when Range is given?

The Initial Velocity when Range is given formula is defined as sqrt ( acceleration_due_to_gravity * range_of_motion / sin ( 2 * theta ) ) Obtained by formula of calculating Range and is represented as u=sqrt(g*R/sin(2*ϑ)) or Initial Velocity=sqrt(Acceleration Due To Gravity*Range of Motion/sin(2*Theta)). The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint and Range of Motion is defined as the total horizontal distance travelled by the object in a projectile motion.

How to calculate Initial Velocity when Range is given?

The Initial Velocity when Range is given formula is defined as sqrt ( acceleration_due_to_gravity * range_of_motion / sin ( 2 * theta ) ) Obtained by formula of calculating Range is calculated using Initial Velocity=sqrt(Acceleration Due To Gravity*Range of Motion/sin(2*Theta)). To calculate Initial Velocity when Range is given, you need Acceleration Due To Gravity (g), Theta (ϑ) and Range of Motion (R). With our tool, you need to enter the respective value for Acceleration Due To Gravity, Theta and Range of Motion 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?

In this formula, Initial Velocity uses Acceleration Due To Gravity, Theta and Range of Motion. We can use 2 other way(s) to calculate the same, which is/are as follows -

Initial Velocity=(Time*Acceleration Due To Gravity)/(2*sin(Theta))
Initial Velocity=sqrt(Maximum Height*2*Acceleration Due To Gravity)/sin(Theta)

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