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time is equal to time in free fall i.e. 50m=0.5gt^2 -> t=root(50m*2/g)=1.019s

horizontal distance is then tv= 1.019s20m/s=20.38m

multiply with conjugate 5-root3 such that the denominator gets rational 

(5-root3)^2/((5+root3)(5-root3)) = (25-10root3+3)/(25-3)=(28-10root3)/22 = 14/11 - 5root3/11

x^3-6x^2+9x=x(x^2-6x+9)

observe binomial formula (x-3)^2=(x^2-6x+9)

Thus x(x-3)^2 and the function has two points meeting the x-axis.

First step: integrate int df/dx = x^2+3x+c (never forget the constant!) 

Second step: substitute the point in order to get c 

1 = (1)^2+3*1+c -> c = 1-1-3=-3

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In the IB, it is of paramount importance that one should strictly follow the subject guidelines. If you look at the marking rubric, it is important that you 1.) Effectively organise your arguments in o...