Question

sarah is hiking half dome in yosemite national park. on her way to the top of half dome, sarah stops at nevada falls to have lunch. when sarah stops for lunch, her horizontal displacement is 5,280 feet and her vertical displacement is 2,000 feet. after lunch, sarah continues to the summit of half dome. her total displacement during her hike has a horizontal component of 11,900 feet and a vertical component of 4,800 feet.
what is sarahs displacement between stopping for lunch and reaching the summit?
sarahs displacement between stopping for lunch and reaching the summit has a horizontal component of feet and a vertical component of feet.

Explanation:

Step1: Calculate horizontal component

Subtract lunch horizontal displacement from total horizontal displacement:
$11900 - 5280 = 6620$

Step2: Calculate vertical component

Subtract lunch vertical displacement from total vertical displacement:
$4800 - 2000 = 2800$

Answer:

Sarah's displacement between stopping for lunch and reaching the summit has a horizontal component of 6620 feet and a vertical component of 2800 feet.