A ball with a mass of 230 g is tied to a light string that has a length of 2.00 m. The end of the string is tied to a hook, and the ball hangs motionless below the hook. Keeping the string taut, you then move the ball back and up until it is a vertical distance of 1.27 m above its equilibrium point. You then release the ball from rest, and it oscillates back and forth, pendulum style. What is the highest speed the ball achieves in its subsequent motion

An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 137 ft at an angle of 34.0° above the horizontal. it then moves 137 ft at an angle of 48.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)