Problem Set 2.2: Kinematics with Constant Acceleration

Problems

  1. {"partTitle"=>"The Apprentice's Practice: Foundational Skills", "instructions"=>"Apply kinematic relationships with appropriate significant figures and units.", "problems"=>[{"problemNumber"=>1, "text"=>"A car accelerates from rest at a rate of 3.50 m/s². How fast is it going after 6.00 s?"}, {"problemNumber"=>2, "text"=>"A ball is dropped from a height of 80.0 m. How long does it take to hit the ground?"}, {"problemNumber"=>3, "text"=>"A train traveling at 20.0 m/s slams on its brakes and comes to a stop in 125 m. What was its acceleration?"}]}
  2. {"partTitle"=>"The Journeyman's Task: Synthesis & Application", "problems"=>[{"problemNumber"=>4, "text"=>"In the sounding rocket phenomenon, the rocket is moving at 150.0 m/s at an altitude of 1000 m when its engine cuts out. From that moment, it is in freefall. What is the maximum altitude the rocket will reach?"}]}
  3. {"partTitle"=>"The Master's Insight: Metacognitive Reflection", "problems"=>[{"problemNumber"=>5, "text"=>"Our kinematic equations for freefall ignore air resistance. For a real rocket, how would air resistance affect its maximum altitude compared to our calculation? Does our model overestimate or underestimate the real-world value? Explain how this relates to the CCC of 'Systems and System Models'."}]}