You will determine the average velocity of the cart while it w as moving at near

Question

You will determine the average velocity of the cart while it w as moving at nearly constant velocity. There are two methods to calculate average (mean) velocity. Mathematical Average: x = x_1 + x_2 + + x_n/n First, click anywhere inside the velocity-time graph to "activate" it. Then click on the "Examine" icon. to turn examine mode on As you move the mouse along the graph, a box will display the velocity and time for each data point. Pick four data points distributed across the nearly constant portion of the velocity - time graph. In the following table record, to three decimal places, the velocity for each point Calculate the mathematical average velocity and record it to two decimal places in the table. Definition of Average Velocity In physics, average velocity is defined as the average rate of change of position: v = Delta x/ Delta t = x_f - x_i/t_f - t_i Click anywhere inside the position-time graph to "activate" it. Then click on the "Examine" icon to turn on examine mode. Consider the same timeframe that you looked at for the velocity graph. Pick two position data points that are far apart but still within the timeframe. Record, to three decimal places, the position and time data for both points in the following table. Next, calculate the change in position and change in time and record them to three decimal places. Finally, calculate the average velocity and record it to two decimal places. Does the average velocity calculated using both methods seem to agree? Yes or No. Should they agree? Yes or No Mow might you account for any differences?

Explanation / Answer

NO it does not seem to agree

reason is that in first case there may be many ups and downs in the graph.

we may choose only higher value of velocity or may choose lower value of velocity,accordingly our answer may vary.

but in second case we are taking total displacement.it account for all variation.

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