# Physics

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A German U2 rocket from the Second World War had a range of 300 km, reaching a maximum height of 100 km. Determine the rocket's maximum initial velocity.

• Physics -

Vertical height h = V^2(sin^µ)/2g.
Horizontal distance = d = V^2(sin2µ)/g.
h = height, meters V = initial launch velocity, m/s, g = acceleration due to gravity, m/s^2s and µ = the elevation angle of the rocket measured from the horizontal to the launch directiion.

Thus, h = V^2(sin^2µ)/2g = 100 and
......d = V^2(sin2µ)/g = 300.

Solve for V^2, equate the results and solve for µ and then V.

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