"Dizzyball" You practice throwing baskets from a spot 15 feet from the pole until you can make a basket every time. The ball leaves your hands the same way every time. The initial velocity of the ball is exactly correct.
You visit an amusement park where there is a merry-go-round with a 15 feet diameter platform. A standard size basketball post is fastened to the rim of the platform. The platform is rotating clockwise (as seen from above) with a period of 15 seconds. Step onto a spot at the edge of the platform, diametrically opposite the basketball post. Imagine a ground-based coordinate system, with you at the origin, the positive x-axis drawn to your right, the y-axis drawn away from you towards the post and the z-axis drawn straight up from the spot you are standing on. When the platform is standing still you can always make the basket with the vy and vz components of the initial velocity you praticed on the ground. How would you have to adjust the initial velocity of the ball to make a basket on the moving platform? Do you need to add an x-component to the velocity? Do you have to adjust the y-component and the z-component in any way? 
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