Deriving the Work-Energy Theorem using Calculus

Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-Kinetic Energy Theorem. Want Lecture Notes? http://www.flippingphysics.com/wnet-ke.html This is an AP Physics 1 topic. 0:00 Intro 0:21 The integral definition of work 1:02 Net Work 1:53 Substituting in for acceleration 2:40 Dealing with dv/dt 3:26 Changing the limits 3:50 Substituting in velocity 4:32 Taking the integral 4:56 Kinetic Energy! 5:16 The Theorem 5:42 Other energy equations 6:46 When can we use this equation? Next Video: Work-Energy Theorem Problem by Billy http://www.flippingphysics.com/wnet-billy.html Multilingual? Please help translate Flipping Physics videos! http://www.flippingphysics.com/translate.html Previous Video: Work due to Friction equals Change in Mechanical Energy Problem by Billy http://www.flippingphysics.com/wf-problem-billy.html 1¢/minute: http://www.flippingphysics.com/give.html