Question

practice: match each position vs. time graph below with the type of motion it represents:
______ 1. object moving at
constant speed away from the
reference point.
______ 2. object moving away from
the reference point and slowing down.
______ 3. object not moving.
______ 4. object moving at a
constant speed toward the reference
point.
graphs a, b, c, d as described in the image

Explanation:

Step1: Analyze Graph A

Graph A has a horizontal line (position vs. time). A horizontal line means position doesn't change with time, so the object is not moving. This matches description 3.

Step2: Analyze Graph B

Graph B is a straight line with a positive slope (from origin). A straight line with constant slope in position - time graph means constant speed. Positive slope (position increasing with time) means moving away from reference point. This matches description 1.

Step3: Analyze Graph C

Graph C is a straight line with negative slope (position decreasing with time, approaching zero). A straight line with constant slope means constant speed. Negative slope means moving toward reference point. This matches description 4.

Step4: Analyze Graph D

Graph D is a curve that is concave down (slope decreasing). A decreasing slope in position - time graph means the object's speed is decreasing (since speed is the magnitude of slope). And since position is increasing, it's moving away from reference point and slowing down. This matches description 2.

Answer:

1. B
2. D
3. A
4. C