Initial speed for Basketball throw
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
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\(\LaTeX\)
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Exercise:
A basketball leaves a player's hands at a height of .m above the floor. The basket is .m above the floor. The player likes to shoot the ball at a ang. angle. If the shot is made from a horizontal distance of .m and must be accurat to pm.m horizontally what is the range of initial speeds allowed to make the basket?
Solution:
The ball is glqq goodgrqq if he is thrown within a distance of .m dots .m. Two s determine each motion of a thrown object: h fracgt^+v_y t fracgt^ + v_ sinalpha t s_x v_x t v_ cosalpha t Since we do neither know the duration t of the throw nor the initial velocity v_ we can't work with only one of them. Eliminating the time t which is not explicitly of erest by subsituting it in one with the expression obtained from the other we up with: h fracgt^ + v_ sinalpha t fracgleftfracs_xv_xright^ + v_ sinalpha leftfracs_xv_xright fracgleftfracs_xv_ cosalpharight^ + v_ sinalpha leftfracs_xv_ cosalpharight fracg fracs_x^v_^cos^alpha + s_xtanalpha Solved for the initial speed v_ we get: v_ sqrtfracgs_x^cos^alphafracs_x tanalpha - h v_.m .meterpersecond v_.m .meterpersecond The basketball player has to shoot the ball within a speed range of .meterpersecond dots .meterpersecond.
A basketball leaves a player's hands at a height of .m above the floor. The basket is .m above the floor. The player likes to shoot the ball at a ang. angle. If the shot is made from a horizontal distance of .m and must be accurat to pm.m horizontally what is the range of initial speeds allowed to make the basket?
Solution:
The ball is glqq goodgrqq if he is thrown within a distance of .m dots .m. Two s determine each motion of a thrown object: h fracgt^+v_y t fracgt^ + v_ sinalpha t s_x v_x t v_ cosalpha t Since we do neither know the duration t of the throw nor the initial velocity v_ we can't work with only one of them. Eliminating the time t which is not explicitly of erest by subsituting it in one with the expression obtained from the other we up with: h fracgt^ + v_ sinalpha t fracgleftfracs_xv_xright^ + v_ sinalpha leftfracs_xv_xright fracgleftfracs_xv_ cosalpharight^ + v_ sinalpha leftfracs_xv_ cosalpharight fracg fracs_x^v_^cos^alpha + s_xtanalpha Solved for the initial speed v_ we get: v_ sqrtfracgs_x^cos^alphafracs_x tanalpha - h v_.m .meterpersecond v_.m .meterpersecond The basketball player has to shoot the ball within a speed range of .meterpersecond dots .meterpersecond.
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Exercise:
A basketball leaves a player's hands at a height of .m above the floor. The basket is .m above the floor. The player likes to shoot the ball at a ang. angle. If the shot is made from a horizontal distance of .m and must be accurat to pm.m horizontally what is the range of initial speeds allowed to make the basket?
Solution:
The ball is glqq goodgrqq if he is thrown within a distance of .m dots .m. Two s determine each motion of a thrown object: h fracgt^+v_y t fracgt^ + v_ sinalpha t s_x v_x t v_ cosalpha t Since we do neither know the duration t of the throw nor the initial velocity v_ we can't work with only one of them. Eliminating the time t which is not explicitly of erest by subsituting it in one with the expression obtained from the other we up with: h fracgt^ + v_ sinalpha t fracgleftfracs_xv_xright^ + v_ sinalpha leftfracs_xv_xright fracgleftfracs_xv_ cosalpharight^ + v_ sinalpha leftfracs_xv_ cosalpharight fracg fracs_x^v_^cos^alpha + s_xtanalpha Solved for the initial speed v_ we get: v_ sqrtfracgs_x^cos^alphafracs_x tanalpha - h v_.m .meterpersecond v_.m .meterpersecond The basketball player has to shoot the ball within a speed range of .meterpersecond dots .meterpersecond.
A basketball leaves a player's hands at a height of .m above the floor. The basket is .m above the floor. The player likes to shoot the ball at a ang. angle. If the shot is made from a horizontal distance of .m and must be accurat to pm.m horizontally what is the range of initial speeds allowed to make the basket?
Solution:
The ball is glqq goodgrqq if he is thrown within a distance of .m dots .m. Two s determine each motion of a thrown object: h fracgt^+v_y t fracgt^ + v_ sinalpha t s_x v_x t v_ cosalpha t Since we do neither know the duration t of the throw nor the initial velocity v_ we can't work with only one of them. Eliminating the time t which is not explicitly of erest by subsituting it in one with the expression obtained from the other we up with: h fracgt^ + v_ sinalpha t fracgleftfracs_xv_xright^ + v_ sinalpha leftfracs_xv_xright fracgleftfracs_xv_ cosalpharight^ + v_ sinalpha leftfracs_xv_ cosalpharight fracg fracs_x^v_^cos^alpha + s_xtanalpha Solved for the initial speed v_ we get: v_ sqrtfracgs_x^cos^alphafracs_x tanalpha - h v_.m .meterpersecond v_.m .meterpersecond The basketball player has to shoot the ball within a speed range of .meterpersecond dots .meterpersecond.
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Schiefer Wurf [v0 sx sy alpha] by TeXercises
Asked Quantity:
Geschwindigkeit \(v\)
in
Meter pro Sekunde \(\rm \frac{m}{s}\)
Physical Quantity
Geschwindigkeit \(v\)
Strecke pro Zeit
Veränderung des Ortes
Unit
Meter pro Sekunde (\(\rm \frac{m}{s}\))
Base?
SI?
Metric?
Coherent?
Imperial?