Quiz: 8.8 Quiz (LO5) Time Remaining: 00:44:51 Submit Quiz This Question: 1 pt 1

Question

Quiz: 8.8 Quiz (LO5) Time Remaining: 00:44:51 Submit Quiz This Question: 1 pt 1 of 4 ( complete) This Quiz: 4 pts possible The height attained by a weight attached to a spring is s(t)2 cos 8t inches after t seconds. Determine the maximum height the weight rises above the equilibrium position, the frequency and period of the oscillation, and when the weight first reaches its maximum height. What is the maximum height that the weight rises above the equilibrium position? in cycles per sec. The frequency of the oscillation is (Simplify y our answer. Type an exact a nswer, using as needed.) The period of the oscillation is sec. (Simplify your answer. Type an exact answer, using as needed.) When does the weight first reach its maximum height? sec (Type an integer or fraction. Type an exact answer, using as needed.)

Explanation / Answer

1) s(t) = - 2 cos 8t

maximum height that the weight rises = 2 inches

since 2 is the amplitude

frequency = 1 / time period

time period = 2pi/8 = pi/4

frequency = 4/pi cycles / second

time period = pi/4 sec

weight first reach the maximum height at pi/8 sec

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