Atire 0.650 m in radius rotates at a constant rate of 210 rev/min. find the speed of a small stone lodged in the tread of the tire (on its outer edge). (hint: in one revolution, the stone travels a distance equal to the circumference of its path, 2πr.)

Emmy kicks a soccer ball up at an angle of 45° over a level field. she watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. assume that air resistance is negligible, and plot the horizontal and vertical components of the ball's velocity as a function of time. consider only the time that the ball is in the air, after being kicked but before landing. take "north" and "up" as the positive ‑ and ‑directions, respectively, and use ≈10 m/s2 for the downward acceleration due to gravity.