you time an ant’s movement as it walks along a meter stick. you record the following data: {(0.0 s, 0.00 m)…

you time an ant’s movement as it walks along a meter stick. you record the following data: {(0.0 s, 0.00 m), (1.0 s, 0.08 m), (2.0 s, 0.16 m)}. determine the ant’s velocity from the slope of the position vs. time graph.

you time an ant’s movement as it walks along a meter stick. you record the following data: {(0.0 s, 0.00 m), (1.0 s, 0.08 m), (2.0 s, 0.16 m)}. determine the ant’s velocity from the slope of the position vs. time graph.

Answer

Explanation:

Step1: Recall velocity - slope formula

The velocity (v) is given by the slope of the position - time graph, and the slope formula for two points ((t_1,x_1)) and ((t_2,x_2)) is (v=\frac{x_2 - x_1}{t_2 - t_1}).

Step2: Select two points

Let's take the first point ((t_1,x_1)=(0.0\ s,0.00\ m)) and the second point ((t_2,x_2)=(1.0\ s,0.08\ m)).

Step3: Calculate the velocity

Substitute the values into the slope formula: (v=\frac{0.08\ m - 0.00\ m}{1.0\ s - 0.0\ s}). [v=\frac{0.08\ m}{1.0\ s}=0.08\ m/s]

Answer:

(0.08\ m/s)