# What is John's resultant displacement from 234 mile marker? answer in units of km.While John is traveling along a straight interstate highway, he notices that the mile marker says 234 km. John...

What is John's resultant displacement from 234 mile marker? answer in units of km.

While John is traveling along a straight interstate highway, he notices that the mile marker says 234 km. John travels until he reaches the 134 mile marker and then retraces his path to the 180 km marker.

ncchemist | Certified Educator

John has travelled past the 234 km marker.  He stops at the 134 km marker and returns along his path to the 180 km marker.  What is his resultant displacement from the 234 km marker?

The total number or km's he has travelled would be :

(234-134)+(180-134)=

100+46=146 km

However for his resultant displacement from the 234 km marker, we can ignore all of the travelling he did after passing his ultimate endpoint.  Since he ultimately stopped at the 180 km marker, we can simply subract the two values for his resultant displacement:

234-180=54 km

His resultant displacement is 54 km.

quantatanu | Student

54 km.

displacement is the straight line distance in Physical Euclidean space, in this case its a straight road. So shortest distance is the distance between the 234km marker and the 180km marker, and that distance is just

234 km -180 km = 54 km.