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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

v

^{2}= (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_0

^{2}cos

^{2}θ - 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?