a speed-time graph is shown below:

a speed versus time graph is shown with y-axis labeled position in centimeters per second up to 2 and x-axis labeled time in seconds up to 8. a horizontal line connects the points 0, 1 and 4, 1. a vertical line connects points 4, 1 and 4, 0. a horizontal line connects points 4, 0 and 8, 0.

how far did the object travel by the end of eight seconds, according to the graph above?

it traveled 4 centimeters.
it traveled 8 centimeters.
it traveled 12 centimeters.
it traveled 20 centimeters.

It traveled 4 centimeters.

Explanation:

In a speed versus time graph, the distance travelled is given by the area under the graph.

In this graph we have the following:

- The speed of the object is v = 1 cm/s between time t = 0 s and t = 4 s

- The speed of the object is v = 0 cm/s between time t = 4 s and t = 8 s

Since the speed in the second part is zero, the distance travelled in the second part is zero. So, the only distance travelled by the object is the distance travelled during the first part, which is equal to the area of the first rectangle: