Problems

1. {"partTitle"=>"The Apprentice's Practice: Foundational Skills", "instructions"=>"Complete the following problems, showing all work and keeping units consistent.", "problems"=>[{"problemNumber"=>1, "text"=>"Given a position-time graph of a person walking, determine their average velocity between t=2.0s and t=8.0s."}, {"problemNumber"=>2, "text"=>"Given a velocity-time graph of a car, determine its acceleration between t=5.0s and t=10.0s."}, {"problemNumber"=>3, "text"=>"From the same velocity-time graph, calculate the car's total displacement by finding the area under the curve."}]}
2. {"partTitle"=>"The Journeyman's Task: Synthesis & Application", "problems"=>[{"problemNumber"=>4, "text"=>"You are given the velocity-time graph from the sounding rocket phenomenon. Calculate the rocket's acceleration during its initial engine burn and its acceleration after engine cutoff (while it is in freefall). Then, calculate the total height the rocket has reached at the moment of engine cutoff."}]}
3. {"partTitle"=>"The Master's Insight: Metacognitive Reflection", "problems"=>[{"problemNumber"=>5, "text"=>"A velocity-time graph contains all the information about an object's motion in one dimension. Explain this statement. How does this single graph demonstrate the Cross-Cutting Concept of 'Patterns'?"}]}