# Parametric and Vector Equations

In the plane, the position of a moving object as a function of time, t, can be specified by a pair of parametric equations  or the equivalent vector . The path is the curve traced by the parametric equations or the tips of the position vector. . The velocity of the movement in the x- and y-direction is given by the vector . The vector…

# Extreme Values and Linear Motion

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…

# Linear Motion (Type 2)

“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…

# November 2015

Here is the list of “November Topics,” that is what AP classes usually consider from mid-November into December. There has been a lot of discussion about inverses this month at the AP Calculus Community. While not the most read on this blog, the series on inverses may be helpful in considering all the ins and…

# Matching Motion

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…