Unit 4 covers rates of change in motion problems and other contexts, related rate problems, linear approximation and L’Hospital’s Rule. (CED – 2019 p. 82 – 90). These topics account for about 10 – 15% of questions on the AB exam and 6 – 9% of the BC questions. Topics 4.1 – 4.6 Topic 4.1 Interpreting…
Two more applications of differentiation are finding extreme values and the analysis of linear motion. Extreme Values The Marble and the Vase Extremes without Calculus A Standard Problem Far Out! Linear Motion – Motion on a Line Type 2 Problems Motion Problems: Same Thing, Different Context The Ubiquitous Particle Motion Problem – a PowerPoint Presentation and…
“A particle (or car, or bicycle) moves on a number line ….” These questions may give the position equation, the velocity equation or the acceleration equation of something that is moving, along with an initial condition. The questions ask for information about motion of the particle: its direction, when it changes direction, its maximum position…
Here’s a little matching quiz. In the function column are a list of properties of functions and in the motion column are a list of terms describing the motion of a particle. The two list are very similar. Match the terms in the function list with the corresponding terms in the Linear Motion list (some may…
AP Type Questions 8 Particle moving on a plane for BC – the parametric/vector question. I have always had the impression that the AP exam assumed that parametric equations and vectors were first studied and developed in a pre-calculus course. In fact many schools do just that. It would be nice if students knew all…
AP Type Questions 4 These questions may give the position equation, the velocity equation or the acceleration equation of something that is moving, along with an initial condition. The questions ask for information about motion of the particle: its direction, when it changes direction, its maximum position in one direction (farthest left or right), its…
