Solve using 4-step procedure below

1. Getting Started State the important information and summarize the problem. If possible, include a diagram. Note any assumptions you're making. 2. Devise Plan Devise a plan of attack before diving into the solution. Break down the problem into smaller, manageable segments. Identify which physical relationships you can apply. 3. Execute Plan Carry out your plan, explaining each step. The argument should be easy to follow. Articulate your thought process at each step (including roadblocks). Any variables should be clearly defined, and your diagrams should be labeled. 4. Evaluate Solution Check each solution for reasonableness. There are many ways to justify your reasoning: check the symmetry of the solution, evaluate limiting or special cases, relate the solution to situations with known solutions, check units, use dimensional analysis, and/or check the order of magnitude of an answer. Note: If you got stuck in thePart A: A ball of mass m is tossed straight up with initial speed v (see figure below). Upon release, the ball is a height h above a (vertical) spring with a spring constant k. After release, the ball then rises, peaks, and falls back toward the spring, ultimately compressing the spring a maximum distance d from its relaxed position, at which time the ball is at rest. Q1: Consider the mass, m at the beginning of its motion (when it is released with upward speed v as shown in the figure above). At this instant, the mass has multiple forms of energy. Determine expressions for each of the following forms of energy (listed below), each in terms of m, g. d, h, v, and k: note that not all forms of energy will depend upon all of the letters in this list 1) Gravitational Potential Energy: 2) Spring Potential Energy: 3) Kinetic Energy: 4) Total Mechanical Energy:Q2: Consider the mass m later in its motion, particularly when it has come to rest on the vertical spring, compressing the spring a maximum distance d from its relaxed position (see figure below): At this instant, the mass has multiple forms of energy. Determine expressions for each of the following forms of energy (listed below), each in terms of m, g, d, h, v, and k. Note that not each form of energy will depend upon all of the letters in this list. 1) Gravitational Potential Energy: 2) Spring Potential Energy: 3) Kinetic Energy 4) Total Mechanical Energy03: Consider the mass m {the ball} over the course of its entire motion as described above, in the combinations onl and C12, and as illustrated in the figure below in preparation to do the following: Neglect Friction and Air Drag: you will he deriving an expression in two ways. Show your work for both: Determine an expression for d, the distance of maximum compression of the [vertical] spring, at which point the ball is at rest, given that the ball began its motion a height h above the [relaxed] spring, moving [initially upward! with a speed v. Your expression will depend upon in, g, h, V, and k. Derive this expression twice, using the following two methods: Conservation of Mechanical Energy: Set initial and Final Total Mechanical Energies equal, and solve for the expression for d from there: Work-Energy Theorem: set WNET = AKE, and solve for the expression for d from there