while john is traveling along an straight interstate highway, he notices that the mile marker reads 260. john travels until he reaches the 150-mile marker and then retraces his path to the 175-mile marker. what is john's resultant displacement from the 260-mile marker?
To find John's resultant displacement from the 260-mile marker, we need to calculate the total distance covered and the direction he traveled.
Firstly, let's calculate the total distance John traveled. He went from the 260-mile marker to the 150-mile marker and then back to the 175-mile marker.
Distance from 260-mile marker to 150-mile marker: 260 miles - 150 miles = 110 miles
Distance from 175-mile marker to 150-mile marker: 175 miles - 150 miles = 25 miles
Total distance covered: 110 miles + 25 miles = 135 miles
Now, let's determine the direction of John's travel. Since John initially traveled away from the 260-mile marker and then retraced his path, his final displacement will be in the opposite direction.
To calculate the resultant displacement, we need to calculate the displacement in terms of distance and direction. Distance is calculated as the absolute value of the total distance covered, and the direction can be represented by a negative sign.
Resultant displacement from the 260-mile marker: -135 miles
Therefore, John's resultant displacement from the 260-mile marker is -135 miles, indicating he is 135 miles behind the 260-mile marker.
He starts at 260 and ends up at 175. What does that tell you about resultant displacement?
When we measure displacement, you measure the distance between the Initial Position (260) & the Final Position (175).
Displacement = Difference between initial position & final position.
Initial - Final = Displacement
260 - 175 = 85 m.