__Minimum Initial Velocity Calculator:__

__Minimum Initial Velocity Calculator:__

Enter the values of Accelaration of gravity G_{(m/s}^{2}_{)}, Height H_{(m)} & Angle of launch a_{(deg)} to determine the value of Minimum Initial Velocity Vmin_{(m/s).}

__Minimum Initial Velocity Formula:__

__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/s}^{2}_{)} 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/s}^{2}_{)} * H_{(m)} / Sin^{2} a_{(deg)} )

Here,

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

G_{(m/s}^{2}_{)} = 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.__

__Minimum Initial Velocity Calculation :</u.__

1)Calculate the Minimum Initial Velocity and given for gravity = 9.81m/s^{2} , Height = 40m , Angle of launch = 45degree.

Answer

Vmin = √( 2 * G * H / Sin^{2} ( a ) )

Vmin = √ ( 2 * 9.81 * 40 / Sin^{2} ( 40 ) )

Vmin = 37.59m/s.

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

Answer

Vmin = √( 2 * G * H / Sin^{2} ( a ) )

37.59 = √ ( 2 * 9.81 * H / Sin^{2} ( 40 ) )

H = 40m.