Question

the graphs below depict the motion of several different objects. note that the graphs include both position vs. time and velocity vs. time graphs. the motion of these objects could also be described using words. analyze the graphs and match them with the verbal descriptions given below by filling in the blanks.
verbal description
a. the object is moving fast with a constant velocity and then moves slow with a constant velocity.
b. the object is moving in one direction with a constant rate of acceleration (slowing down), changes directions, and continues in the opposite direction with a constant rate of acceleration (speeding up).
c. the object moves with a constant velocity and then slows down.
d. the object moves with a constant velocity and then speeds up.
e. the object maintains a rest position for several seconds and then accelerates.

1. consider the position - time graphs for objects a, b, c and d. on the ticker tapes to the right of the graphs, construct a dot diagram for each object. since the objects could be moving right or left, put an arrow on each ticker tape to indicate the direction of motion.
2. consider the velocity - time graphs for objects a, b, c and d. on the ticker tapes to the right of the graphs, construct a dot diagram for each direction of motion. since the objects could be moving right or left, put an arrow on each ticker tape to indicate the direction of motion.

Explanation:

Step1: Analyze graph A

The velocity - time graph of graph A shows a flat section (constant velocity) followed by an upward - sloping section (acceleration). This matches the description "The object moves with a constant velocity and then speeds up." So, graph A matches description d.

Step2: Analyze graph B

The velocity - time graph of graph B shows a positive velocity decreasing to zero and then becoming negative with a constant slope. This indicates the object is moving in one direction, slowing down, changing directions, and then speeding up in the opposite direction. So, graph B matches description b.

Step3: Analyze graph C

The position - time graph has a non - linear shape. But considering the velocity - time graph characteristics not shown here fully, we focus on the overall motion. Since no clear constant velocity part is seen initially, we can't match it with the given descriptions easily. However, if we assume the initial part is a rest position and then acceleration, it could match description e. But this is a bit of a stretch without more information.

Step4: Analyze graph D

The velocity - time graph of graph D shows a flat section (constant velocity) followed by a downward - sloping section (deceleration). This matches the description "The object moves with a constant velocity and then slows down." So, graph D matches description c.

Step5: Analyze graph E

The position - time graph of graph E shows an initial flat section (rest position) followed by a sloping section (acceleration). This matches the description "The object maintains a rest position for several seconds and then accelerates." So, graph E matches description e.

Answer:

a. No match among given graphs
b. Graph B
c. Graph D
d. Graph A
e. Graph E