Thinking Mathematically: Explore the quantitative dependencies of the acceleration upon the speed and the radius of curvature. Then answer the following questions. a. For the same speed, the acceleration of the object varies (directly, inversely) with the radius of curvature. b. For the same radius of curvature, the acceleration of the object varies (directly, inversely) with the speed of the object. c. As the speed of an object is doubled, the acceleration is (one-fourth, one-half, two times, four times) the original value. d. As the speed of an object is tripled, the acceleration is (one-third, one-ninth, three times, nine times) the original value. e. As the radius of the circle is doubled, the acceleration is (one-fourth, one-half, two times, four times) the original value. f. As the radius of the circle is tripled, the acceleration is (one-third, one-ninth, three times, nine times) the original value.