Question

(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 how far did the driver travel during the second hour of the trip?
○ a 0 miles
○ b 2 miles
○ c 20 miles
○ d 40 miles

Explanation:

Step1: Analyze the time interval

The second hour of the trip corresponds to the time from \( t = 1 \) hour to \( t = 2 \) hours.

Step2: Check the position at these times

From the graph, at \( t = 1 \) hour, the position is 40 miles (assuming the first segment reaches 40 miles at \( t = 1 \)). At \( t = 2 \) hours, the position is still 40 miles (since the graph is horizontal between \( t = 1 \) and \( t = 2 \) hours, indicating no change in position).

Step3: Calculate the distance traveled

The distance traveled is the change in position. So, \( \text{Distance} = \text{Final Position} - \text{Initial Position} = 40 - 40 = 0 \) miles.

Answer:

a. 0 miles