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Illustration 2.5: Motion on a Hill or Ramp

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A putted golf ball travels up a hill and then down again (position is given in meters and time is given in seconds). Restart. When an object (like a golf ball) travels up or down an inclined ramp or hill, its motion is often characterized by constant, nonzero acceleration. If the incline of the hill is constant, then the motion of the object can also be considered straight-line motion (or one-dimensional motion). It is convenient to analyze the motion of the golf ball by defining the +x axis to be parallel to the hill and directed either upward or downward along the hill as shown in Animation 1.

Here are some characteristics of the motion that you should convince yourself are true:

See Illustration 3.2 for more details on what happens to the acceleration when the angle of the hill is varied.

Illustration authored by Aaron Titus.
Script authored by Aaron Titus and Mario Belloni.

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