John walks to school in the morning and then walks home for lunch. The school is 1000 meters directly north of his house. After lunch, he goes back to the school and then to the field for track that is 30 meters north of the school. What is John's resultant displacement when he remains on the field to run track? 30 meters north 970 meters north 1030 meters north 3000 meters north

Question

Miranda Tanner

Physics

20 February, 03:45

John walks to school in the morning and then walks home for lunch. The school is 1000 meters directly north of his house. After lunch, he goes back to the school and then to the field for track that is 30 meters north of the school. What is John's resultant displacement when he remains on the field to run track? 30 meters north 970 meters north 1030 meters north 3000 meters north

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Answers (1)

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Alisa · Answer 1

1030 meters north

Explanation:

John's resultant displacement is given by the algebraic sum of all the displacements, taken into account with the proper sign depending on their direction.

Taking north as positive direction, the list of John's displacements is:

+ 1000 m north (to go from home to the school)

- 1000 m south (to go back home for lunch)

+ 1000 m north (to go back to the school after lunch)

+ 30 m north (to reach the field)

Therefore, John's resultant displacement is

d = + 1000 - 1000 + 1000 + 30 = + 1030 m (north)