Sarah's Adventurous Journey

How far did Sarah travel and in which directions?

What route did Sarah take and what was her final displacement?

Sarah's Exciting Trip

Sarah embarked on an adventurous journey at an average speed of 35 km/hr. She first drove for 45 minutes along a road angled at 40° S of E, then turned counterclockwise 70° and traveled for another 35 minutes to the northeast. Let's find out where she ended up!

Sarah's journey began with driving south of east at an angle of 40°. During this leg of her trip, she covered a horizontal distance of approximately 15.525 km and a vertical distance of about 18.706 km. After making a counterclockwise turn of 70°, she headed towards the northeast for 35 minutes. On this part of her journey, she traveled approximately 14.380 km horizontally and 24.663 km vertically.

To calculate Sarah's total displacement, we simply add up her horizontal and vertical components from each leg of the journey. The final result is approximately 29.905 km east and 43.369 km north. Sarah's adventurous journey led her to a final displacement of 29.905 km east and 43.369 km north. What an exciting trip!