Tennis player
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.
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 -
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 -
Question
Solution
Short
Video
\(\LaTeX\)
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Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
At serve a tennis player aims to hit the ball horizontally. abcliste abc What minimum speed is required for the ball to clear to .m net about .m from the server if the ball is ``launched'' from a height of .m? abc Where will the ball land if it just clears the net and will it be ``good'' in the sense that it lands within .m of the net? abc How long will it be in the air? abcliste
Solution:
newqtyhe.m newqtyxe.m newqtyyz.m % abclist abc The ball must not fall more than solqtyyey_ - h_yzn-henm al y_ yef yz - he ye when reaching the net. This takes solqtytesqrtfracy_gsqrt*yen/gMns al t_ tef sqrtfrac yegM te. If the net is about xe from the server the initial velocity must be solqtyvofracx_t_xen/ten al v_ vof fracxete vo voTT. abc It takes the ball solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tz until he lands. In this time it travels solqtyxzv_ t_von*tznm al x_ xzf vo tz xz in horizontal direction. Therefore it lands solqtystx_-x_xzn-xenm al s stf xz - xe st stTT from the net i.e. it is ``good''. abc This is already answered in the previous part. The ball is solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tzTT in the air. abclist
At serve a tennis player aims to hit the ball horizontally. abcliste abc What minimum speed is required for the ball to clear to .m net about .m from the server if the ball is ``launched'' from a height of .m? abc Where will the ball land if it just clears the net and will it be ``good'' in the sense that it lands within .m of the net? abc How long will it be in the air? abcliste
Solution:
newqtyhe.m newqtyxe.m newqtyyz.m % abclist abc The ball must not fall more than solqtyyey_ - h_yzn-henm al y_ yef yz - he ye when reaching the net. This takes solqtytesqrtfracy_gsqrt*yen/gMns al t_ tef sqrtfrac yegM te. If the net is about xe from the server the initial velocity must be solqtyvofracx_t_xen/ten al v_ vof fracxete vo voTT. abc It takes the ball solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tz until he lands. In this time it travels solqtyxzv_ t_von*tznm al x_ xzf vo tz xz in horizontal direction. Therefore it lands solqtystx_-x_xzn-xenm al s stf xz - xe st stTT from the net i.e. it is ``good''. abc This is already answered in the previous part. The ball is solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tzTT in the air. abclist
Meta Information
Exercise:
At serve a tennis player aims to hit the ball horizontally. abcliste abc What minimum speed is required for the ball to clear to .m net about .m from the server if the ball is ``launched'' from a height of .m? abc Where will the ball land if it just clears the net and will it be ``good'' in the sense that it lands within .m of the net? abc How long will it be in the air? abcliste
Solution:
newqtyhe.m newqtyxe.m newqtyyz.m % abclist abc The ball must not fall more than solqtyyey_ - h_yzn-henm al y_ yef yz - he ye when reaching the net. This takes solqtytesqrtfracy_gsqrt*yen/gMns al t_ tef sqrtfrac yegM te. If the net is about xe from the server the initial velocity must be solqtyvofracx_t_xen/ten al v_ vof fracxete vo voTT. abc It takes the ball solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tz until he lands. In this time it travels solqtyxzv_ t_von*tznm al x_ xzf vo tz xz in horizontal direction. Therefore it lands solqtystx_-x_xzn-xenm al s stf xz - xe st stTT from the net i.e. it is ``good''. abc This is already answered in the previous part. The ball is solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tzTT in the air. abclist
At serve a tennis player aims to hit the ball horizontally. abcliste abc What minimum speed is required for the ball to clear to .m net about .m from the server if the ball is ``launched'' from a height of .m? abc Where will the ball land if it just clears the net and will it be ``good'' in the sense that it lands within .m of the net? abc How long will it be in the air? abcliste
Solution:
newqtyhe.m newqtyxe.m newqtyyz.m % abclist abc The ball must not fall more than solqtyyey_ - h_yzn-henm al y_ yef yz - he ye when reaching the net. This takes solqtytesqrtfracy_gsqrt*yen/gMns al t_ tef sqrtfrac yegM te. If the net is about xe from the server the initial velocity must be solqtyvofracx_t_xen/ten al v_ vof fracxete vo voTT. abc It takes the ball solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tz until he lands. In this time it travels solqtyxzv_ t_von*tznm al x_ xzf vo tz xz in horizontal direction. Therefore it lands solqtystx_-x_xzn-xenm al s stf xz - xe st stTT from the net i.e. it is ``good''. abc This is already answered in the previous part. The ball is solqtytzsqrtfracy_gsqrt*yzn/gMns al t_ tzf sqrtfrac yzgM tzTT in the air. abclist
Contained in these collections:
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Horizontaler Wurf 1 by uz
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Horizontaler Wurf by pw