A traveler first drives 18.6 km east, then 30.3 km southeast, and finally 10.7 km south. Find the traveler's total displacement.

East: 18.6+30.3/(sqrt2) South: 19.7+30.3/(sqrt2) Total displacement: sqrt(east^2+south^2) is 57.3 km

Answered by avtrisal | 2024-06-10

If a **traveler **first drives 18.6 km east, then 30.3 km southeast , and finally 10.7 km south then the traveler's total displacement would be 51.30 kilometers.
What is displacement?
An object's **position **changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an **airplane **or a professor moves to the right in relation to a whiteboard. Displacement describes this shift in location .
As given in the problem If a **traveler **first drives 18.6 km east, then 30.3 km southeast , and finally 10.7 km south then we have to find the traveler's total displacement,
the total displacement in the **east **direction = 18.6 + 30.3Cos45°
the total displacement in the east direction = 40 km
the total **displacement **in the south direction = 10.7 + 30.3Cos45°
the total displacement in the **south **direction = 32.12 km
The net **resultant **displacement = √(40² + 32.12²)
The net resultant displacement = 51.30 kilometers
Thus, the traveler's total displacement comes out to be 51.30 kilometers .
Learn more about **displacement **here, refer to the link;
https://brainly.com/question/10919017
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Answered by rahulsharma789888 | 2024-06-16

The traveler's total displacement is approximately 51.38 km at an angle of about 39.6° south of east. This is calculated by breaking down each leg of the trip into east and south components and then applying the Pythagorean theorem. Understanding how to resolve movements into components is key to calculating displacement accurately.
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Answered by rahulsharma789888 | 2024-12-26