Minimum Initial Velocity Calculator, Formula, Minimum Initial Velocity Calculation

Minimum Initial Velocity Calculator:

Enter the values of Accelaration of gravity G_(m/s²₎, Height H_(m)  & Angle of launch a_(deg) to determine the value of Minimum Initial Velocity Vmin_(m/s).

Minimum Initial Velocity Formula:

The Minimum Initial Velocity Vmin_(m/s) in meter per second is equal to the SQRT of the Value of 2 into multiply the Accelaration of gravity G_(m/s²₎ in meter per second square and Height H_(m) in meter and then divided by the Sin Angle of launch a_(deg) in degree.

The Equation of Minimum Initial Velocity can be writtern as,

Vmin_(m/s) = SQRT ( 2 * G_(m/s²₎ * H_(m) / Sin² a_(deg) )

Here,

Vmin_(m/s) = Minimum Initial Velocity in meter per second

G_(m/s²₎ = Accelaration of gravity in meter per second square

H_(m) = Height in meter

a_(deg) = Angle of launch in degree

Minimum Initial Velocity Calculation :</u.

1)Calculate the Minimum Initial Velocity and given for gravity = 9.81m/s² , Height = 40m , Angle of launch = 45degree.

Answer

Vmin = √( 2 * G * H / Sin² ( a ) )

Vmin = √ ( 2 * 9.81 * 40 / Sin² ( 40 ) )

Vmin = 37.59m/s.

2)Calculate the Height and given for gravity = 9.81m/s² , Angle of launch = 45degree , Minimum Initial Velocity = 37.59m/s.

Answer

Vmin = √( 2 * G * H / Sin² ( a ) )

37.59 = √ ( 2 * 9.81 * H / Sin² ( 40 ) )

H = 40m.

Determine the minimum initial velocity