9.8 Explain your answer

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Suppose that a weight on a spring has initial position s(0) and period . s(0)=1in; P=15sec a. Find a function s given by s(t) = a cos wt that models the displacement of the weight. sit)=|_| (Simplify your answer. Type an exact answer in terms of . Use integers or fractions for any numbers in the expression.) b. Evaluate s{1). s(1)= |:| (Round to the nearest tenth as needed.) c. |s the weight moving upward, downward, or neither when t=17 The answer may be determined graphically or numerically. ) Meither ) Upward v Downward Find the amplitude, period, and frequency of the simple harmonic motion of a particle moving uniformly around a circle of radius 2 units, with angular speed 4 radians per second. The amplitude is |:| units. (Simplify your answer.) The period is |:| seconds. (Simplify your answer. Type an exact answer in terms of m.} The frequency is |:| rotations per second. (Simplify your answer. Type an exact answer in terms of n.) The position of a weight attached to a spring is s(t) = - 2 cos 4xt inches after t seconds. Complete parts a)-d) below. a) What is the maximum height that the weight rises above the equilibrium position? |:| in. b) What are the frequency and period? The frequency of the oscillation is |:| cycles per sec. (Type an integer or a fraction. Type an exact answer, using T as needed.) The period of the oscillation is |:| sec. (Type an integer or a fraction. Type an exact answer, using as needed.) c) When does the weight first reach its maximum height? after |:| sec (Type an integer or a fraction. Type an exact answer, using T as needed.) d) Calculate and interpret s(1.3). s(1.3)= |:| {Round to the nearest integer as needed.) Intarpret s(1.3). Choose the correct answer below. () A, After 1.3 sec, the weight is about 2 in. above the equilibrium position. (") B. After 2 sec, the weight is about 1.3 in. above the equilibrium position. 1 () C. After 1.3 sec, the weight is about 1 in. above the equilibrium position