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An object is given an initial push up along a frictionless incline. The incline has a length Land it makes an angle 30◦ with the ground. The object starts its motion 20 ft up along the incline and at a speed of 36 ft/sec, as shown in the figure above. Determine the smallest length (L) of the incline if the object is not to fly off the incline when it reaches the top.
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