7. a train travels 36 miles east, then turns around and travels 60 miles west. find the: a. distance…
7. a train travels 36 miles east, then turns around and travels 60 miles west. find the: a. distance traveled by the train b. the displacement of the train 8. a bus travels 12 miles west, then 7 miles north. find the: a. distance traveled b. magnitude of the displacement
Answer
Explanation:
7a.
Step1: Define distance
Distance is total path length. $36 + 60$
7b.
Step1: Define displacement
Displacement is net change in position. Let east be positive, west be negative. $36-60$
8a.
Step1: Calculate distance
Distance is sum of path lengths. $12 + 7$
8b.
Step1: Use Pythagorean theorem
Displacement forms right - triangle. Let west - east be x - axis and north - south be y - axis. $\sqrt{12^{2}+7^{2}}$
Answer:
7a. 96 miles 7b. - 24 miles 8a. 19 miles 8b. $\sqrt{144 + 49}=\sqrt{193}\approx13.9$ miles