Question

A trip is taken that passes through the following points in order: Point A, Point B 15.0 m, Point C -30.0 m, Point D 20.0 m, Point E -10.0 m, Point F 5.0 m. What is the displacement from Point B to Point F?

A. 90 m right
B. 10.0 m left
C. 90 m left
D. 10.0 m right

Answer 1

The displacement from Point B to Point F is the sum of individual displacements which amounts to -15.0 meters, meaning the correct displacement is 15.0 meters to the left.

Step-by-step explanation:

To calculate the displacement from Point B to Point F, we need to add the vector displacements together. Starting at Point B, the trip goes to Point C (-30.0 m), Point D (+20.0 m), Point E (-10.0 m), and finally to Point F (+5.0 m). Since displacement is a vector quantity that depends on the initial and final position, we can sum these displacements to find the total displacement from Point B to Point F. The calculation is as follows:

• From B to C: -30.0 m
• From C to D: +20.0 m
• From D to E: -10.0 m
• From E to F: +5.0 m

Summing these gives a total displacement of -15.0 m (-30 + 20 - 10 + 5 = -15). Therefore, the displacement from Point B to Point F is 15.0 meters to the left.