Question

objective: i can write a scientific argument using claim, evidence, and reasoning to describe the motion of an object in dynamic equilibrium.
do now
the diagram below represents the motion of a student walking across a field. use this diagram to answer questions 1 - 4.

1. calculate the student’s distance.
2. calculate the student’s displacement.
3. it took the student 200 seconds to walk the path. calculate the student’s average speed: average speed = total distance / time
4. it took the student 200 seconds to walk the path. calculate the student’s average velocity. velocity = displacement / change in time velocity = change in position / change in time

Explanation:

Step1: Calculate distance

Distance is the total length of the path traveled. We sum up all the lengths given: $20 + 10+17 + 30+55 + 10+15=157$ m

Step2: Calculate displacement

Assume the right - hand direction as positive. Displacement is the straight - line distance from the starting point to the ending point. Let's calculate the net displacement. $(20 - 10+17 - 30+55 - 10+15)=57$ m

Step3: Calculate average speed

Average speed = total distance/time. Given total distance $d = 157$ m and time $t = 200$ s. So, average speed $v_{s}=\frac{157}{200}=0.785$ m/s

Step4: Calculate average velocity

Average velocity = displacement/time. Given displacement $x = 57$ m and time $t = 200$ s. So, average velocity $v_{v}=\frac{57}{200}=0.285$ m/s

Answer:

1. $157$ m
2. $57$ m
3. $0.785$ m/s
4. $0.285$ m/s