practice test\nthe graph shows the momentum y, in newton - seconds, of an object x\nseconds after the object…

practice test\nthe graph shows the momentum y, in newton - seconds, of an object x\nseconds after the object started moving, for ( 0 leq x leq 8 ). what is the average\nrate of change, in newton - seconds per second, in the momentum of the\nobject from ( x = 2 ) to ( x = 6 )?\nanswer preview:\nshow keypad

practice test\nthe graph shows the momentum y, in newton - seconds, of an object x\nseconds after the object started moving, for ( 0 leq x leq 8 ). what is the average\nrate of change, in newton - seconds per second, in the momentum of the\nobject from ( x = 2 ) to ( x = 6 )?\nanswer preview:\nshow keypad

Answer

Explanation:

Step1: Find the values of (y) at (x = 2) and (x = 6)

From the graph, when (x = 2), (y=4). When (x = 6), (y = 4).

Step2: Use the average - rate - of - change formula

The average rate of change formula is (\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}). Here, (x_1 = 2,y_1 = 4,x_2=6,y_2 = 4). Then (\frac{y_2 - y_1}{x_2 - x_1}=\frac{4 - 4}{6 - 2}).

Step3: Calculate the result

(\frac{4 - 4}{6 - 2}=\frac{0}{4}=0)

Answer:

(0)