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2. Let k be a positive constant. Acceleration due to gravity on a planet slightly larger than Earth is 5m/s². On this planet, a ball is shot directly upwards. What initial velocity is required to make the ball land back at its starting spot after k seconds?

3. Shelby has 6m² of sheet metal that she intends to make into a cylindrical can (with both a top and a bottom). What is the maximum volume that her can will hold, what are the dimensions of the can (radius and height)? How do you know this volume is a maximum?

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