This video serves to introduce and review some basic concepts related to rectilinear motion problems, the climax being the reveal of the conditions by which the speed of a particle is increasing or decreasing. Speed up, gas pedal. Duration: 16:44

In this optional video, I use the derivative of an absolute value function to demonstrate why we can just check the signs of the velocity and acceleration functions to see whether a particle is speeding up or slowing down. Duration: 7:01

Example 1 is a calculator-active, rectilinear motion free-response question with a given velocity equation of some particle moving on a horizontal line. We will find the speed, the position, the time when the particle changes direction, and whether the speed is increasing/decreasing at a particular time. Duration: 19:04

Example 2 is a calculator-inactive, rectilinear motion free-response question with the velocity function of the Space Shot amusement ride given to us as a piece-wise linear graph. Duration: 23:17

In Example 3, Valerie swims in an "Olympic-sized pool" and her velocity is given to us as a table of values. Duration: 20:54

In this final example, the velocity function is again given to us as an equation in this calculator-inactive free-response question. Duration_19_59