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Homework Statement
An object is thrown with a fixed initial speed v0 at various angles α relative to the horizon. At some constant
height h above the launch point the speed v of the object is measured as a function of the initial angle α.
Which of the following best describes the dependence of v on α? (Assume that the height h is achieved, and
assume that there is no air resistance.)
The answer is that v is independent of alpha.
Homework Equations
v2 = (v_0cosθ)2 - 2gd
Δx = v_ocosθt
The Attempt at a Solution
Let the displacement be d, as mentioned in the problem.
Solving for v gives:
v = √(v_02cos2θ - 2gd)
It looks like the velocity depends on the angle θ, particularly as θ increases, the velocity at that point seems to decrease.
How/why is this wrong?