a students motion is captured using a motion detector and displayed on the graph shown. use the graph to…

a students motion is captured using a motion detector and displayed on the graph shown. use the graph to answer the following questions. right is defined as positive. answers have a 5% tolerance to allow for estimation. describe the direction of travel: left describe the motion: moving at constant speed what is the distance traveled? 14 m what is the final speed? m/s

a students motion is captured using a motion detector and displayed on the graph shown. use the graph to answer the following questions. right is defined as positive. answers have a 5% tolerance to allow for estimation. describe the direction of travel: left describe the motion: moving at constant speed what is the distance traveled? 14 m what is the final speed? m/s

Answer

Explanation:

Step1: Identify slope of position - time graph

The position - time graph is a straight line with a negative slope. Since right is positive, a negative - slope indicates motion to the left. And a straight - line position - time graph means constant speed motion.

Step2: Calculate distance traveled

The initial position is approximately $14$ m and the final position is $0$ m. The distance traveled $d=|x_f - x_i|=|0 - 14| = 14$ m.

Step3: Calculate speed from slope

The speed $v$ of an object in a position - time graph is given by the absolute value of the slope of the graph. The slope $m=\frac{\Delta x}{\Delta t}$, where $\Delta x=0 - 14=- 14$ m and $\Delta t = 30$ s. So $v=\left|\frac{-14}{30}\right|\approx0.47$ m/s.

Answer:

$0.47$ m/s