Question

question 6 (2 points) (01.07 mc) a driver takes a trip away from home. this person’s position during the five - hour drive is plotted on the graph below. the starting position (0, 0) is the driver’s home. position vs. time graph (omitted) with position (miles) on y - axis and time (hours) on x - axis identify the time period(s) during the trip when the car was stopped
○ a first and third hour
○ b second and fifth hour
○ c third and fourth hour
○ d first and fifth hour

Explanation:

Step1: Understand stopping condition

A car is stopped when position (y - value) doesn't change over time (x - value), i.e., horizontal line on position - time graph.

Step2: Analyze graph segments

• From \(x = 1\) to \(x = 2\) (second hour, assuming \(x = 1\) is first hour end? Wait, x - axis: let's check the graph. The first horizontal segment: from \(x = 1\) to \(x = 2\) (time from 1 to 2 hours, so second hour period) and then from \(x = 4\) to \(x = 5\) (fifth hour period, since \(x = 4\) to \(x = 5\) is the last horizontal segment). Wait, the options: option b is "Second and fifth hour". Let's re - check: when time increases and position is constant, the car is stopped. Looking at the graph, the horizontal parts are from \(t = 1\) to \(t = 2\) (second hour, as \(t = 0\) to \(t = 1\) is first hour, \(t = 1\) to \(t = 2\) is second hour) and from \(t = 4\) to \(t = 5\) (fifth hour, \(t = 4\) to \(t = 5\)). So the time periods when the car was stopped are the second hour (1 - 2 hours) and the fifth hour (4 - 5 hours).

Answer:

b. Second and fifth hour