The chart shows the movement of a ball after several seconds.

column a is on the x-axis, and column b is on the y-axis. which titles should replace a and b?

a. column a should be “time,” and column b should be “position.”
b. column a should be “position,” and column b should be “time.”
c. column a should be “velocity,” and column b should be “speed.”
d. column a should be “speed,” and column b should be “velocity.”

a. Column A should be “Time,” and Column B should be “Position.”

Explanation:

Column A is on x-axis and x-axis always represent independent variable.

Column B is on y-axis and y-axis always represent dependent variable.

In all the given option only time and position are related to each other. Speed and velocity has same magnitude so it can not be plotted in a graph.

Thus, Column A should be “Time,” and Column B should be “Position.”

a. Column A should be “Time,” and Column B should be “Position.”

Explanation:

In a position-time graph, the time is put on the x-axis and the position is put on the y-axis. Therefore, in this case column A corresponds to the time (x-axis) and column B corresponds to the position (y-axis). In such a graph, the slope of the curve corresponds to the instantaneous speed of the ball, since the speed is given by the ratio between difference in position and difference in time:

the answer is d. 4

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