Practice · 12 problems · Paper

Printable Worksheet

Twelve problems to work by hand, from differentiating \(x(t)\) and \(y(t)\) to projectiles, path coordinates and a highway design. Print it, show your work in the space provided, then check your final answers here.

Curvilinear Motion · Worksheet

12 problems · Parts A–C
Name Course / section Date

Show your work in the space provided. Unless a problem says otherwise, use \(g = 9.81\ \text{m/s}^2\), ignore air resistance, take \(x\) horizontal and \(y\) up, give answers to 4 significant figures with units, and give \(a_t\) a sign (negative when slowing down). You may use the Formula Sheet.

Answer sheet: final answers only.

How to use this worksheet

  1. Print it, or save it as a PDF. Each problem gets a dotted work space, and Problem 7 gets blank axes for a sketch. It fits on about five Letter or A4 pages.
  2. Work on paper. Part A is rectangular components and projectiles, Part B is path coordinates and curvature, and Part C connects the two and applies them. Each problem names the lesson to review if you get stuck.
  3. Check your final answers with Show answer under each problem, or show them all at once. Only final answers are given here.

Part A · Rectangular components and projectiles

Problems 1–6 · Basic to challenge · Lessons 2–4

Part B · Path coordinates and curvature

Problems 7–10 · Basic to intermediate · Lessons 5–7

Part C · Connecting the systems and applications

Problems 11–12 · Intermediate to challenge · Lessons 6–9