Quz:8.8 Quiz (L05) Time Remaining This Question: 1 pt 2 of 4 (0 complete) Th Sup

Question

Quz:8.8 Quiz (L05) Time Remaining This Question: 1 pt 2 of 4 (0 complete) Th Suppose that a weight on a spring has initial position s/0) and period P. s(0)-1 in; P-0.9 sec ?.Find a function s given by s(t-a cos cot that models the displacement of the weight S(t)- (Simplify your answer. Type an exact answer in terms ot use integers or fractions for any numbers in the expression.) b. Evaluate s(1). s(1)-O (Round to the nearest tenth as needed ) c. Is the weight moving upward, downward, or neither when t-1? The answer may be determined graphically or numerically O Upward al ents O Neither O Downward ces Click to select your answer(s). ibra tion here to search

Explanation / Answer

standard function is

s(t) = a cos w t

s(0) = 1

a = 1

2pi/b = 0.9

b = 2pi/0.9 = 20 pi/9

w = 20pi/9

hence, function is

s(t) = cos (20 pi / 9 ) t

b)  s(1) = cos ( 20 pi / 9 ) *1

= 0.8

c) when t = 1 weight is moving downward

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