Question

19.) how much distance did the object travel during the entire trip? 20.) how long did the trip take? 21.) what is the average speed for the entire trip? name: graph g: speed (m/s) time (s)

Explanation:

Step1: Determine the time of the trip

From the graph, the time starts at \(t = 0\) s and ends at \(t=6\) s. So the time of the trip \(t = 6 - 0=6\) s.

Step2: Calculate the distance using the area - under - the - speed - time graph

The speed - time graph is a triangle. The area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base is the time \(t = 6\) s and the height is the initial speed \(v_0 = 4\) m/s. So the distance \(d=\frac{1}{2}\times6\times4 = 12\) m.

Step3: Calculate the average speed

The formula for average speed is \(v_{avg}=\frac{d}{t}\). We know \(d = 12\) m and \(t = 6\) s. So \(v_{avg}=\frac{12}{6}=2\) m/s.

Answer:

1. \(12\) m
2. \(6\) s
3. \(2\) m/s