You are practicing throwing darts in your dorm. You stand 3.21 m from the wall on which the board hangs. The dart leaves your hand with a horizontal velocity at a point 1.94 m above the ground. The dart strikes the board at a point 1.73 m from the ground.

a) Calculate the time of flight of the dart.

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b) Calculate the initial speed of the dart.

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c) Calculate the speed of the dart when it hits the board.