Time is a measure of duration, it is not a measure of space. The measure of space is the SI unit the meter, and that is what is used to measure the space between the ball and the center of the earth. You see how that works? The distance between the ball and the center of the earth is a measure of space! We'll use the unit of measure the meter, not the unit of measure the second to measure that distance, K? Now answer my questions, what gives you the weird idea that the ball is accelerating at a rate other than zero while it's on the beach?