The position of a weight attached to a spring is \( s(t)=-2 \cos 4 \pi t \) inches after \( t \) seconds. Complete parts a)-d) below. a) What is the maximum height that the weight rises above the equilibrium position? 2 in. b) What are the frequency and period? The frequency of the oscillation is 2 cycles per sec. (Type an integer or a fraction. Type an exact answer, using \( \pi \) as needed.) The period of the oscillation is \( \frac{1}{2} \) sec. (Type an integer or a fraction. Type an exact answer, using \( \pi \) as needed.) c) When does the weight first reach its maximum height? after \( \frac{1}{4} \) sec (Type an integer or a fraction. Type an exact answer, using \( \pi \) as needed.) d) Calculate and interpret \( s(1.2) \). \( s(1.2)=\square \) (Round to the nearest integer as needed.)
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