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Your friend has decided to make some money during the next State Fair by inventing a...

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Physics

Your friend has decided to make some money during the next StateFair by inventing a game of skill. In the game, as she hasdeveloped it so far, the customer shoots a rifle at a 5.0 cmdiameter target falling straight down. Anyone who hits the targetin the center wins a stuffed animal. Each shot would cost 50 cents.The rifle would be mounted on a pivot 1.0 meter above the ground sothat it can point in any direction at any angle. When shooting, thecustomer stands 100 meters from where the target would hit theground if the bullet misses. At the instant that the bullet isfired (with a velocity of 1200 ft/sec according to the manual), thetarget is released from its holder 7.0 meters above the ground.(You see, the trigger is electronically connected to the releasemechanism.) Your friend asks you to try out the game which she hasset up on a farm outside of town. Before you fire the gun youcalculate where you should aim. You may, as usual, neglect anyeffects of air resistance. Your conclusion? At what angle from thevertical should you aim?

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