Question

motion in one dimension

1. use your understanding of the meaning of slope and shape of position - time graphs to describe the motion depicted by each of the following graphs.

moving with a - velocity and a + acceleration
moving with a - velocity and a - acceleration
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Explanation:

1. For the first graph (left - top): The slope is negative and constant, so the object is moving in the negative direction with a constant velocity. Since the acceleration is zero (constant velocity), it is a uniform motion in the negative direction.
2. For the second graph (right - top): The position is constant over time, so the object is at rest.
3. For the third graph (left - bottom): The slope is positive and increasing. The positive slope indicates motion in the positive direction, and the increasing slope means the velocity is increasing, so the object is accelerating in the positive direction.
4. For the fourth graph (right - bottom): The slope is positive but decreasing. The positive slope means motion in the positive direction, and the decreasing slope implies that the velocity is decreasing, so the object is decelerating while moving in the positive direction.

Answer:

1. Moving in the negative direction with constant velocity.
2. At rest.
3. Accelerating in the positive direction.
4. Decelerating while moving in the positive direction.