Starting from rest, a professional driver conducted a test drive to cover certain distances in certain amounts of times. The table shows the distances, the times, and the direction of travel.

Time of Travel (s) 0, 60, 120,180
Distance from Start Point (km) 0, 2, 4, 6
Direction of travel east, east, East, north

Based on the data, during what portions of the test was the professional driver most likely accelerating? Place the corresponding label in each cell of the table below.

Portion of the Test

From 0 s to 60 s

From 60 s to 120 s

From 120 s to 180 s
Type of motion
evidence

accelerated
change in speed
change in direction
non-accelerated
no change in direction or speed

1 answer

To analyze the test drive and determine the type of motion during each portion of the test, we can examine the distances covered, the times taken, and the directions of travel.

Given Data:

  • 0 s: 0 km, East
  • 60 s: 2 km, East
  • 120 s: 4 km, East
  • 180 s: 6 km, North

Portion of the Test Analysis:

  1. From 0 s to 60 s:

    • Distance change: From 0 km to 2 km in 60 seconds.
    • Direction: East (no change).
    • Since the driver moves from rest to 2 km, this indicates a change in speed (speeding up).
    • Motion Evidence: Accelerated.
  2. From 60 s to 120 s:

    • Distance change: From 2 km to 4 km in 60 seconds.
    • Direction: East (no change).
    • The distance is the same (2 km) over the same time period (60 seconds), indicating a constant speed.
    • Motion Evidence: Non-accelerated.
  3. From 120 s to 180 s:

    • Distance change: From 4 km to 6 km in 60 seconds.
    • Direction: Change from East to North.
    • Although the distance continues to increase, the change in direction indicates a change in velocity (since velocity has both speed and direction).
    • Motion Evidence: Accelerated (change in direction).

Summary Table:

| Portion of the Test | Type of Motion Evidence | |---------------------------|----------------------------| | From 0 s to 60 s | Accelerated | | From 60 s to 120 s | Non-accelerated | | From 120 s to 180 s | Accelerated |

This table indicates when the professional driver was accelerating based on changes in speed or direction during the test drive.