A particle's motion is described by the equation; x = 2.7 cos(3.89 t), where the constants are in .I. units. (a) What is the amplitude? (b) What is the angular frequency? (c) What is the requency? (d) What is the period? (e) What is the position of the particle at t= 5.00 seconds? (f) What is the velocity of the particle at t= 5.00 seconds? (g) What is the acceleration of the article at t= 5.00 seconds? (h) If the particle has a mass of 0.25-kg, what is the total energy of ne system?

A damped SHO has spring constant, k=10 N/m, mass, m=1 kg and friction constant, b=2kg/s. What is the frequency of the oscillations?

An object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) 9 centimeters, and then released. Write an equation for the distance d of the object from its rest position, after t seconds if the amplitude is 9 centimeters and the period is 6 seconds. The equation for the distance d of the object from its rest position is (Type an exact answer, using z as needed. Use integers or fractions for any numbers in the equation.) (? Enter your answer in the answer box. Save for Later 3:18 PM O Type here to search O 11/15/2020 PgUp PgDn F12 DII PrtScn Home F9 End F10 F11 Ins F4 F5 F6 F7 F8 F1 F2 F3 2$ & ) %23 %3D 3. 4. 5 6 7 8 E R Y U | [ T

Suppose a teacher is riding a Ferris wheel. The maximum height they attain is 30 m and theminimum height is 6 m. The time it takes to make one full rotation is about 5 minutes. Determine:a/ The periodb/ The amplitudec/ A possible equation that models this situation, if the time starts at the minimum height.