A student walked 50 meter due east. Realizing that he forgot his book, he decided to go back to his house. He traveled 35 meter due west when he met his brother carrying his book. After getting the book from his brother, he turned east and walk his way to school an additional distance of 50 meters. Find the total distance the student walked. Find his resultant displacement.

In this problem, we will get the total distance and the resultant displacement. In getting the total distance, we just add the total distance traveled by the student regardless of his direction because it is a scalar quantity while we consider the direction in solving the displacement because it is a vector quantity.

Solving the problem

a. Let us solve for the total distance traveled by the student.

Dt = d₁ + d₂ + d₃

Dt = 50m + 35m + 50m

Dt = 135m

Take note that taking the total distance is always non-negative.

Therefore, the total distance is 135 meters.

b. Now, let us solve for the resultant displacement where directions are considered because displacement is a vector.

R = 50m - 35m + 50m

R = 65 meter

Take note that, 50 m east means going to the right and has a positive direction while 35 m west means going to the left or negative direction.

Therefore, the resultant displacement is 65 meters.

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