Due Sep 4 via Blackboard submission, before 12:00 pm.
Note: this HW doesn't count for anything and is just practice.
Instructions: Prepare responses to the following questions. Each one is worth the same amount. [A] means that a problem is meant to be done analytically, i.e. with paper and a pencil. [C] means that the problem is meant to be done with computationally, i.e. with software. Homework sets will be submitted electronically. Please submit one pdf documents that contains all the work you want me to see. For the [A] ones, please scan your original, handwritten work and include in the pdf. For [C] problems, save your code/notebook as a pdf (not a screenshot) and include that pdf in the submission. Also link to the Colab notebook online and make sure it is viewable/commentable by me (jhedberg@ccny.cuny.edu). Please title your submission PHYS35100-HW1-LASTNAME-FIRSTNAME.pdf.
Starting with the basic definitions of acceleration and velocity, use integration to derive the 2nd order polynomial equation of motion.
Adapt the code from the example provided in class* to make plots [$x(t)$, $v(t)$, and $a(t)$], for a particle given an initial velocity at t = 0 that sends it up a ramp in the +x direction. After some time, it reaches the top and begins to slide back down.
Choose values for the initial conditions and ramp angle that lead to a $x(t)$ motion with 1 clear turning point. Annotate your plot to indicate this special point.
* This means that I'd like you to extend the techniques we use, and not use other software, libraries, etc. That means for plotting, use matplotlib, not plotly for example.