In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup slides off the counter and strikes the floor at distance d from the base of the counter. (a) If the height of the counter is h, find an expression for the time t it takes the cup to fall to the floor in terms of the variables h and g. t =        (b) With what speed does the mug leave the counter? Answer in terms of the variables d, g, and h. v1 =        (c) In the same terms, what is the speed of the cup immediately before it hits the floor? v2 =

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