Concept of State I
Concept Test
A basketball player shoots a basketball, and
wants to predict (after she releases the ball)
whether the ball will go into the basket. How
many state variables must the player know in
order to make an accurate prediction?
Enter the number of states, or 0 (zero) if the
number of states is greater than 9.
Concept of State I
Solution
Lecture S11: Concept of State I
1
2
3
Answer
4
5
6
7
8
9
0
0
2
4
6
8
Number of Students
10
12
Lecture S11: Concept of State I (2nd try)
1
2
3
Answer
4
5
6
7
8
9
0
0
2
4
6
8
Number of Students
10
12
The best answer is that there are nine state variables: the x,
y, and z position of the ball; the three elements of the vector
velocity; and the three rotational rates. An OK answer is that
there are six state variables: the three position and three
velocity variables. However, spin is important for the bounce
off the backboard.