Motion Map Analysis: Understanding the Scenario

What scenario is represented by the provided motion map?

a. A car speeds up to merge onto the freeway and then continues at a constant velocity.
b. A car speeds up to pass a truck, then slows down to a constant velocity.
c. A car slows to stop at a stop sign. Once traffic is clear, the car speeds up.
d. A car slows to make a U-turn, then continues in the opposite direction.

Answer:

The scenario represented by the motion map is "a car slows to stop at a stop sign. Once traffic is clear, the car speeds up."

The motion map provides a visual representation of the car's motion, depicting different stages and changes in velocity. Let's break down the analysis of the motion map:

The position line in the motion map is a long black arrow pointing right, labeled as "x." This indicates the direction of the car's movement. The dots and vectors above the line show various actions taken by the car during its motion.

The two dots with vectors pointing away from "x" suggest that the car is slowing down. This deceleration is further reinforced by the two yellow vectors pointing toward "x" positioned to the left of the dots, indicating acceleration as the car speeds up.

The vertical row of three black dots in the center of the position line represents the car coming to a complete stop, aligned with the yellow arrows, signifying a constant velocity. The dot with a longer vector arrow to the right of the top dot indicates the car accelerating once traffic is clear.

The two yellow arrows pointing away from the origin show the car returning to a constant velocity after speeding up. This sequence of events matches the scenario of "a car slows to stop at a stop sign. Once traffic is clear, the car speeds up."

By analyzing the motion map, we can understand the dynamic changes in the car's motion and predict its behavior based on the depicted movements. The visualization provides valuable insights into the scenario portrayed in the motion map.

← A challenging mathematical problem for mountain climber A car s final velocity calculation →