Calculating Plane's Displacement Using Pythagorean Theorem
What is the plane's displacement?
After taking off, a plane travels in a straight line and ends up 190 km further east and 800.0 km farther north than it began. You can use the Pythagorean theorem to solve this problem.
Plane's Displacement Calculation:
Distance along x-axis: 190 km
Distance along y-axis: 80 km
Using Pythagoras's theorem: \(d = \sqrt{(190^2 + 80^2)}\)
Therefore, the plane's displacement value is 212.13 km, rounded out.
Understanding Displacement Value:
The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction, represented by an arrow from the initial location to the ending place.
For example, if an object moves from location A to position B, its position changes, and the displacement value is the distance and direction between the two points.
It is essential to calculate displacement accurately, as it provides vital information about an object's movement in a specific direction.