Question

1. an rv travels 45 km east and stays the night. the next day it continues traveling 110 km east. what is the displacement over the two days for the rv? what is the distance?

Explanation:

Step1: Understand Displacement and Distance

Displacement is the straight - line distance from the initial to the final position (since motion is in the same direction, east, displacement magnitude is sum of distances in that direction). Distance is the total path length traveled.

Step2: Calculate Displacement

The RV moves 45 km east and then 110 km east. Since both motions are in the same (east) direction, displacement \(d_{displacement}=45 + 110\) km.
\(d_{displacement}=155\) km (direction is east, but magnitude is 155 km).

Step3: Calculate Distance

Distance is the sum of the lengths of the paths traveled. So \(d_{distance}=45+110\) km.
\(d_{distance}=155\) km.

Answer:

Displacement: 155 km east (magnitude 155 km); Distance: 155 km.