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 explain how motion in a plane splits into two one-dimensional motions that share only the time. (Guide: “One motion, two one-dimensional problems”)
- I can explain why a push along one axis does not change the motion along the perpendicular axis. (Guide: “One motion, two one-dimensional problems”; Practice Q1)
- I can describe a projectile as having zero horizontal acceleration and constant downward acceleration g, and say what the speed and acceleration are at the top. (Guide: Figure 1)
- I can state that this course analyses motion in two dimensions only, and that a z-component would extend the same method (background, not assessed here). (Guide: “Position, velocity and acceleration as vectors”)
Calculation
- I can differentiate r(t) component by component to find v(t) and a(t), and give a speed and direction. (Practice Q2, Q4)
- I can integrate a component that changes with time, using its own initial condition, while the other component stays uniform. (Guide: Worked example 2; Practice Q4)
- I can solve a projectile problem where launch and landing heights differ, using the same t in both components. (Guide: Worked example 1; Practice Q5)
- I can derive the trajectory equation and the level-ground range from a = −g j. (Guide: “Projectile motion: a special case”; Practice Q6)
Reasoning
- I can predict how flight time and landing distance change when the launch height or speed changes. (Practice Q3, Q6(d))
- I can say when the range formula R = v₀² sin 2θ / g must not be used. (Guide: Worked example 1)
- I can linearise video data, for example y/t against t, to find g and a launch velocity. (Guide: “Investigating motion in a plane”; Practice Q7)
- I can design a video experiment that tests whether vertical motion depends on horizontal speed. (Practice Q7(d))
All ticked? You have finished this unit. Move on to Unit 2, Force and Translational Dynamics, starting with Topic 2.1, Systems and Center of Mass, or return to the course roadmap.