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| course_planning:183_projects:f21_week_1_escape_from_ice_station_mcmurdo [2024/01/09 22:13] – hallstein | course_planning:183_projects:f21_week_1_escape_from_ice_station_mcmurdo [2024/01/09 22:40] – hallstein | ||
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| * Algebra to solve | * Algebra to solve | ||
| * Graphing position and velocity of both crafts 75 min | * Graphing position and velocity of both crafts 75 min | ||
| + | |||
| + | == Teaching Points== | ||
| + | * the rescue craft uses the average velocity over each interval | ||
| + | * The average velocity used to find its acceleration is the instantaneous velocity at the midpoint in time. | ||
| + | * $a= \frac{v_f - v_i}{t_f - t_i}$ | ||
| + | * Ask what velocities do you use, and when do they occur? | ||
| + | * To help understand this, ask them t sketch a v-t diagram for constant acceleration - v increases at a constant rate. Ask them where on their graph the constantly changing velocity(instantaneous) is equal to the average velocity over the interval. | ||
| + | * They can get the correct numerical value,but for the wrong reason (using times other than the midpoint) - ask them to explicitly show the velocities and times. | ||
| + | | ||
| ==Part B Timing== | ==Part B Timing== | ||
| Line 129: | Line 138: | ||
| * Which craft is " | * Which craft is " | ||
| * Plot x and y vs time; and $v_x$ and $v_y$ vs time | * Plot x and y vs time; and $v_x$ and $v_y$ vs time | ||
| + | ==Teaching Points== | ||
| + | * The diagram can be tricky | ||
| Parts A and B are meant to be done on the same day, but in practice half of the folks do not finish part B. It's okay to spend the first part of McMurdo day 2 to complete part B. Thye need to do this before doing the computational part C. | Parts A and B are meant to be done on the same day, but in practice half of the folks do not finish part B. It's okay to spend the first part of McMurdo day 2 to complete part B. Thye need to do this before doing the computational part C. | ||