QUESTION IMAGE
Question
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 non - accelerated
change in speed change in direction no change in direction or speed
Step1: Calculate speed for each interval
For 0 - 60 s: Speed $v_1=\frac{2 - 0}{60-0}=\frac{1}{30}$ km/s. Starting from rest (0 speed initially), speed is increasing, so it's accelerating.
Step2: Analyze 60 - 120 s
For 60 - 120 s: Speed $v_2=\frac{4 - 2}{120 - 60}=\frac{1}{30}$ km/s. Since speed is constant ($v_1 = v_2$) and direction is same (east), it's non - accelerated motion. But there is a change in direction from east to north at 180 s, so evidence for this interval is change in direction.
Step3: Analyze 120 - 180 s
For 120 - 180 s: Speed $v_3=\frac{6 - 4}{180 - 120}=\frac{1}{30}$ km/s. Speed is constant and direction is constant (north) during this interval, so it's non - accelerated with no change in direction or speed.
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| Portion of the Test | From 0 s to 60 s | From 60 s to 120 s | From 120 s to 180 s |
|---|---|---|---|
| Evidence | change in speed | change in direction | no change in direction or speed |