In this exploration, we want to examine whether speed depends on a particular parameterization used or just the location on the curve at which the measurement is taken.
To get started, make sure your headset and controller is set up with the CalcVR app. Start the CalcVR app go to the Vector Valued Functions set of lessons. Start the Vector Valued Function Demo and put your phone in your headset. Once the Demo loads, a 3D graph of a curve in space should generate in front of you with a plot of related scalar quantities to the right. The function input panel will show up on the left of the 3D plot and an option selector panel will show up below the 3D plot.
You should use the option selector panel to turn off all vectors except for the position and velocity vectors. On the function input panel, select the Preloaded Inputs button and scroll until you reach Exploration 1. Click the Display button to load these functions. If a new plot does not automatically generate, then click on the Plot Graph button to the bottom right of the function input panel. You can use the slider at the top of the option selector panel to move the car to different spots on the curve. Note that as you change the car’s location, the
-value of the location is updated and the corresponding plot is highlighted on the 2D plot to the right.