1. 2-D condition of swish
The formula of oblique projectile
•let y be p(x)
•let y be p(x)
where
x1 ≤ x ≤ x2,
f(x1) > h
f(x2) < h
x1 ≤ x ≤ x2,
f(x1) > h
f(x2) < h
change the subject of P(x) and plug in x1 x2
plug in the real life data
The blue part is the condition of θ and v for scoring
2. 2-D condition of bank shot
The orange graph shows the situation when the ball hit the top of the board.
The black graph shows the situation when the ball hit the front of the basket.
The red graph shows the situation when the ball hit the back of the basket.
The possible zone is that above the red graph, below the black and orange graphs.
From the graph we can see the height of the board has little influence on the required domain of v and β
The black graph shows the situation when the ball hit the front of the basket.
The red graph shows the situation when the ball hit the back of the basket.
The possible zone is that above the red graph, below the black and orange graphs.
From the graph we can see the height of the board has little influence on the required domain of v and β