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Question: Can a minimum value for the launch velocity and its related launch angle be found?

Question:Can a minimum value for the launch velocity and its related launch angle be found?

Earl 930 Maple 2016
mechanics velocity
October 03 2017
1

The following procedure describes the path of a projectile fired from the origin with a launch angle of alpha and a launch velocity of u.

z := proc (x) options operator, arrow; tan(alpha)*x-(1/2)*g*x^2/(u^2*cos(alpha)^2) end proc

The projectile's path must pass through the point [a, h], both values greater than zero.

Can an expression be found for the minimum value of u and its related value for alpha?
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