Study of velocity and kinetic energy, a cart was tested in 9 different trials. The cart carried different masses down 3 different inclinations. Table I shows the mass carried by the cart, the height from which it was released.And that is rolled to get to the end of the ramp. The table also lists the speed and kinetic energy of the cart released the of the ramp.Which of the following pairs of trials supports the conclusion that the distance rolled on each ramp is directly proportional to the height of release?

Correct answer: C. Trials 2 and 8

  • A. Trials 2 and 3
  • B. Trials 2 and 5
  • C. Trials 2 and 8
  • D. Trials 5 and 8

Explanation

Trials 2 and 8 provide the best support for the conclusion of direct proportionality between the height of release and the distance rolled. As the height of release increases from Trial 2 to Trial 8, the distance rolled by the cart also increases consistently. This clear relationship between the variables showcases direct proportionality. The other options lack this consistent relationship and do not demonstrate the direct proportionality between the variables.

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