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5. (3 points) A mass m 300g lies on a frictionless horizontal surface and is attached to a horizontal spring with a spring constant k 3 Nm. A coordinate system is given such that the r axis is parallel to the motion of the mass under the action of the spring, and the origin is located at the un-stretched position of the spring. The position of the mass is given by: r(t)-A cos(wt + φ) At time t = 2 s, the position of the mass m is x = 0.2 m, and its velocity is u--.5 m/s. (a) Determine A, a, and φ, and make a plot of x(t) and r(t) between t-0 s and t-10s. (b) What is the mechanical energy of the mass? (c) What is the speed of the mass at position 4?

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