posted by Riss on .
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.
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.