Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.
Understanding
- I can state a coordinate system in words before using any sign, and explain what the point-object model ignores. (Guide: “Object, axis and displacement”)
- I can explain how an instantaneous velocity is the limit of average velocities as Δt → 0, using a table of shrinking intervals. (Guide: “From averages to derivatives”)
- I can explain why the constant-acceleration equations fail when a_x depends on time. (Guide: Worked example 2; Practice Q5(d))
Calculation
- I can differentiate x(t) to find v_x(t) and a_x(t), and give each with the correct unit. (Guide: Worked example 1; Practice Q1)
- I can integrate a_x(t) to find v_x(t), including the initial velocity with its sign. (Guide: Worked example 2; Practice Q2)
- I can find displacement and distance travelled from v_x(t) by splitting the integral where v_x = 0. (Guide: Figure 2; Practice Q4)
- I can find the greatest velocity of an object by setting a_x = 0. (Guide: Worked example 2)
- I can derive all three constant-acceleration equations by integration, including the chain-rule step. (Guide: “Deriving the constant-acceleration equations”; Practice Q5)
Reasoning
- I can decide whether an object is speeding up or slowing down from the signs of v_x and a_x, and build a sign chart over an interval. (Guide: Worked example 1; Practice Q3)
- I can choose what to plot to turn sensor data for a time-dependent acceleration into a straight line, and extract a constant from the slope. (Practice Q6)
- I can show when the average velocity equals the mean of the end velocities, and when it does not. (Practice Q7)
All ticked? Move on to Topic 1.3, Representing Motion, or return to the course roadmap.