Question

a cyclists 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. what is the distance and direction traveled during the following time periods? 0s - 40s: 150 m right; 40s - 60s: 0 m neither. how far away and in what direction from their starting position does she end up? what is the cyclists speed during the following time periods? 0s - 40s: 3.75 m/s; 40s - 60s: 0 m/s

Explanation:

Step1: Analyze starting and ending positions

The cyclist starts at position $0$ m and ends at position $150$ m at $t = 40$s, then stays at $150$ m from $t=40$s to $t = 60$s.

Step2: Calculate net - displacement

Net displacement = Final position - Initial position. Initial position is $0$ m and final position is $150$ m.

Step3: Determine direction

Since right is defined as positive and the final position is positive with respect to the initial position, the direction is right.

Answer:

150 m, right