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/44502 When returning to the waters surface, a scuba diver can safely ascend no

ID: 3112101 • Letter: #

Question

/44502 When returning to the waters surface, a scuba diver can safely ascend no faster than one foot every two seconds. Reggie is a certified scuba diver. He completes a dive and is ready to ascend to the surface. However, during ascension, he loses control over his speed for a few seconds The table below models Reszie's ascension with f() where f(a) describes his depth in feet., and a is the time in seconds since his depth in feet, and z is the time in seconds since Reggie lost control )depth in feet r. time in seconds z). depth in feet 10 Part A: For which time intervals was Reggie's ascension unsafe Part B: During which time interval did Reggie's ascension return to a safe speed? Select all answers that apply for Part A, and select one answer for Part B. A:10, 21 A:1S, 10)

Explanation / Answer

a) from interval [ 0 , 6 ] he has ascended more than 1 feet

hence [ 0,2 ], [ 2, 4] , [ 4, 6 ] is unsafe

b) from [ 6, 8 ] and [ 8, 10 ] he ascends 1 feet every 2 seconds

hence, [ 6, 8 ] and [ 8,10 ] Rgeggels ascends to a safe speed