You walk 1250 m east and then 900 m south in a total time of 20 min. Compute your (a) displace

step 1 This question cover the concept of the displacement and the displacement is the final position m

You walk 1250 m east and then 900 m south in a total time...

Key Concepts

Displacement

Displacement is a vector quantity that represents the change in an object's position. It has both magnitude and direction, and it is defined as the straight-line distance from the initial position to the final position, regardless of the path taken. This concept is crucial because it distinguishes between the actual path traveled and the overall change in position.

Vector Addition

Vector addition is the process of combining two or more vectors to obtain a resultant vector. In the context of displacement, when the movements occur in different directions, such as east and south, the individual displacement vectors are added using vector addition principles. This is essential for determining the overall displacement in a coordinate system.

Pythagorean Theorem

The Pythagorean theorem is used to find the magnitude of the resultant displacement when the movement occurs at right angles, such as east and south. It provides a method to calculate the length of the hypotenuse of a right triangle formed by the two component displacements, thereby giving the magnitude of the total displacement.

Average Velocity

Average velocity is defined as the total displacement divided by the total time taken. It is a vector quantity that not only indicates how fast an object is moving but also the direction of movement relative to its starting point. Understanding average velocity is important as it differentiates between overall motion and the instantaneous speed at any given moment.

Unit Conversion (Time Conversion)

Unit conversion, particularly converting time to the appropriate units, is an essential step in kinematics. For problems involving average velocity or acceleration, making sure that time is expressed in the correct SI units (such as seconds) is crucial for accuracy in calculations. This practice helps maintain consistency across all quantities in the equations used.

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