The kids in the picture above are playing tetherball. The ball is attached to a rope which is attached to a vertical pole. The rope has a length of 1.6 meters (this is actually the length of the rope plus the radius of the ball, so it is the distance from the center of the ball to the point where the rope is attached to the pole). When the ball is hit, it swings in a circle to the player on the other side. At the time shown in the picture, assume the ball is moving in a horizontal circle and the rope makes an angle theta of 74 degrees with the vertical. At the instant shown in the picture, what is the speed of the ball in meters per second

The kids in the picture above are playing tetherball. The ball is attached to a rope which is attached to a vertical pole. The rope has a length of 1.6 meters (this is actually the length of the rope plus the radius of the ball, so it is the distance from the center of the ball to the point where the rope is attached to the pole). When the ball is hit, it swings in a circle to the player on the other side. At the time shown in the picture, assume the ball is moving in a horizontal circle and the rope makes an angle theta of 74 degrees with the vertical. At the instant shown in the picture, what is the speed of the ball in meters per second