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Kugel gegen eine Wand

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/kugel-gegen-eine-wand/

Question

Solution

Short

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\(\LaTeX\)

Need help? Yes, please!

The following quantities appear in the problem: Zeit \(t\) / Geschwindigkeit \(v\) / Strecke \(s\) / Beschleunigung \(a\) /

The following formulas must be used to solve the exercise: \(s = \dfrac{1}{2}at^2+v_0 t \quad \) \(s = vt \quad \)

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Exercise:
Von einem bestimmten Punkt mathcalP aus wird eine kleine Kugel horizontal mit einer Geschwindigkeit von vxO rechtwinklig gegen eine vertikale Wand geworfen. Die Kugel trifft diese Wand in einem Punkte mathcalQ der syO unter der Horizontalebene durch den Abschusspunkt mathcalP liegt. Wie weit ist die Wand von mathcalP entfernt?

Solution:
Geg v_ meterpersecond s_y y cm .m GesPosition / horizontale Streckes_x xsim Die Kugel hat eine Flugzeit von t sqrtfracyg sqrtfrac .m.meterpersecondsquared .s her sich. Denn so lange braucht sie um im Gravitationsfeld der Erde eine Höhe von pqcm zu durchfallen. In dieser Zeit kann die Kugel in horizontaler Richtung bei der gegebenen Geschwindigkeit eine Strecke von x v_ t v_ sqrtfracyg meterpersecond .s .m fliegen. s_x x v_ sqrtfracyg .m

Meta Information

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Contained in these collections:

Horizontaler Wurf [sx sy v0] by TeXercises

12 | 15
Horizontaler Wurf by pw

6 | 9

Attributes & Decorations

Branches	Kinematics
Tags	ball, fall, freier fall, horizontaler wurf, kinematik, mechanik, physik, werfen
Content image
Difficulty	(2, default)
Points	2 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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