Question

what is the distance traveled by the object between 2 and 3 seconds as seen in this graph? m
what is the distance traveled by the object between 2 and 5 seconds as seen in this graph? m
what is the total distance traveled by the object as seen in this graph? m
what is the total displacement of the object as seen in this graph? m

Explanation:

Step1: Determine distance between 2 - 3 s

The object's position is constant at $x = 4$ m from $t = 2$ s to $t = 3$ s. So the distance traveled is $0$ m.

Step2: Determine distance between 2 - 5 s

The object's position is constant at $x = 4$ m from $t = 2$ s to $t = 5$ s. So the distance traveled is $0$ m.

Step3: Determine total distance

The object moves from $x = 0$ m to $x = 2$ m in the first 2 s, then stays at $x = 4$ m from $t = 2$ s - $t = 5$ s, and then moves from $x = 4$ m to $x = 3$ m from $t = 5$ s - $t = 8$ s. The distance from $0$ m to $2$ m is $2$ m, and the distance from $4$ m to $3$ m is $1$ m. So the total distance is $2+0 + 1=3$ m.

Step4: Determine total displacement

The initial position is $x_i=0$ m and the final position is $x_f = 3$ m. Displacement $\Delta x=x_f - x_i=3 - 0 = 3$ m.

Answer:

0
0
3
3