The rotation of a thrown Baseball, or any other ball, compounded by the stitching on a ball, creates lift/drag as it moves through the air, accomplishing each type of pitch- fastball, curve ball, change-up, etc. As an aside, the "knuckleball" is thrown with as little rotation as possible, which causes the more erratic movement as it passes through the air towards home plate.
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It is due to air pressure and the spinning of the ball combined with its forward movement, both together causing a pressure difference on opposite sides of the ball, causing the ball to "break". Airplane wings lift an a plane in a related manner.
Becouse when people through the balls they might not throw it correctly or the wind might make them curve
Bernulli's principal, the same formula that makes airplane wings push up, pushes a curve down.
the snap of the wrist when thrown is a forward flick and causes the forward rotation to make the ball drop dramatically