A train has a speed VA at the top of the incline shown in the gure below, which itself is a height H above the ground. The \"track hump' C has a radius r, and the \"track loop' D has a radius R. Q: Determine an expression for the speed of the train at the top of the 'track hump' C. Your expression (for vc) will depend upon VA, H, r, and g. Q: Determine an expression for the speed of the train at the top of the 'track loop' D. Your expression (for VD) will depend upon VA, H, R, and g Q: If, according to safety regulations, the maximum allowed magnitude of centripetal acceleration at the top of the \"track loop' D is 1.26g, what then would be the minimum allowed 'track loop' radius? Solve for an expression for Rmin. Your expression will depend upon VA, H, and g 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