TeXercises.com

Strecke, Geschwindigkeit, Beschleunigung

About points...

We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.

That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.

About difficulty...

We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.

That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:

Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise

Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise

Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise

Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise

Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/strecke-geschwindigkeit-beschleunigung-1/

Question

Solution

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Exercise:
Folg ist jeweils die Geschwindigkeit eines Teilchens in Abhängigkeit von der Zeit gegeben. Berechne daraus die Beschleunigung sowie die Position des Teilchens in Abhängigkeit von der Zeit; gib ausserdem die Einheiten aller Konstanten an. abcliste abc displaystyle vt c_t^ - c_ t^frac + fracc_ t^- + fracc_t + c_ fract^ abc displaystyle vt c_ expc_ t + c_ texte^-c_ t + c_ lnc_ t abc displaystyle vt c_ sinc_ t - c_ cosc_ t abcliste

Solution:
abcliste abc at c_t^ -frac c_t^-frac - frac c_t^- - fracc_t^-fracc_t^ st fracc_t^ -fracc_t^frac-fracc_t^- + c_lnt -fracc_t^-+C c_simeterpersecondtothe quad c_sims^-frac quad c_sims^ quad c_sim quad c_simstothe abc at c_c_ texte^c_t -c_c_texte^-c_t + fracc_t st fracc_c_ texte^c_t -fracc_c_ texte^-c_t + c_leftlnc_t-right + C c_c_c_sipersecond c_c_c_si abc at c_c_cosc_t + c_c_sinc_ t vt -fracc_c_ cosc_t - fracc_c_ sinc_t c_c_si c_c_sipersecond abcliste

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Strecke - Geschwindigkeit - Beschleunigung by TeXercises

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Attributes & Decorations

Tags	beschleunigung, differentiell, differenzieren, geschwindigkeit, integrieren, mathematik, physik, strecke
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Difficulty	(3, default)
Points	9 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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