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A balloon starts rising from the surface...

A balloon starts rising from the surface of the earth with a verticle component of velocity `v_(0)`. The baloon gathes a horizontal velocity `v_(x)=lambda_(y)`, where `lambda` is a constant and `y` is the height from the surface of earth, due to a horizontaln wind. determine (a) the equation of trajectory and (b) the tangential, normal and total acceleration of the balloon as a function of `y`.

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