MT6: An astronaut throws a ball at 3.1 m/s at an angle of 65" while standing on the moon, where there is no air resistance and the acceleration due to gravity is 1/6 the value as on earth. The ball lands on the ground 2.6 m lower than the astronaut's arm's position. The astronaut was aiming at a 1 m wide crater at the bottom of the hill, 5 m away from the astronaut (horizontally), so the target is between 5 m and 6 m horizontally from the astronaut. Sketch the situation, including a coordinate system and the ball's trajectory. . How many seconds is the ball in the air? Does the ball land in the crater? What is the ball's final speed and direction, just before it impacts the ground