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The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater...

The answer to this question is statements (i) and (ii) are correct. (i) I don't understand why this is corect. By "at maximum height"...

I would say to the right

Ah I see, so statement (i) is FALSE, the force must be downward. This matches the explanation in link in post#4 I thought the ball...

I see, so statement (ii) is TRUE Sorry I don't understand this. Do you mean the ball is moving against the wind so it is moving to the...

(i) Not really sure about this statement but my answer is TRUE because from the picture the air layers on the bottom part of the ball...

Thank you very much for the explanation fresh_42, PeroK, Gavran

$$ 27x^{18}+bx^9+70=(px^9+q)\cdot \sum_{n=0}^9 a_nx^n=\sum_{n=9}^{18} pa_{n-9}x^{n}+\sum_{n=0}^9 qa_nx^n $$ and therefore ##70=qa_0\, ...

If b, p and q are integers then from the post #9 we have: 70=qa0 ⇒ q∈{1,2,5,7,10,14,35,70} 27=pa9 ⇒ p∈{1,3,9,27}. 1/27 is the smallest...

Because only the ratio ##q/p## determines ##b##.

Why can we take ##p## to be 1?

Are ##b##, ##p##, ##q## natural numbers? Must the quotient polynomial have natural coefficients? If so, you have a one parameter family...

Try to express b as a function f(y) where y=q/p and f(y)=27y+70(1/y). We can speak about the greatest value of b for q/p<0. If q/p>0...

You are right. There are the local maximum and the local minimum. In my opinion, the question only holds for q/p<0.

This question makes no sense to me. If ##p, q## are fixed, then that determines ##b##. There is no question of maximising ##b## in...