Question

4.) how much distance did the object travel during the entire trip? 5.) how long did the trip take? 6.) what is the average speed for the entire trip? graph b: distance (m) time (seconds)

Explanation:

Step1: Determine total time

The trip starts at \(t = 0\) s and ends at \(t=20\) s. So the total time \(t_{total}=20 - 0=20\) s.

Step2: Determine total distance

The object starts at \(d = 0\) m and ends at \(d = 0\) m. But it moves from \(d = 0\) m to a non - zero value and back. By observing the graph, we can see that it moves a total distance. From \(t = 0\) to \(t = 15\) s, it moves from \(d = 0\) m to \(d = 5\) m and then from \(t = 15\) s to \(t=20\) s it moves from \(d = 5\) m back to \(d = 0\) m. The total distance \(d_{total}=5+5 = 10\) m.

Step3: Calculate average speed

The formula for average speed is \(v_{avg}=\frac{d_{total}}{t_{total}}\). Substituting \(d_{total}=10\) m and \(t_{total}=20\) s, we get \(v_{avg}=\frac{10}{20}=0.5\) m/s.

Answer:

4.) The total distance traveled is 10 m.
5.) The trip took 20 s.
6.) The average speed for the entire trip is 0.5 m/s.