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A ball is kicked from a tower (50m) at a speed of 20m/s. How far away does the ball hit the ground?

time is equal to time in free fall i.e. 50m=0.5 g t^2 -> t=root(50m*2/g)=1.019s horizontal distance is then t v= 1.019s 20m/s=20.38m
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Answered by Evita G. Physics tutor
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Simplify (5-root3)/(5+root3)

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
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Answered by Evita G. Maths tutor
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Factorise x^3-6x^2+9x.

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.
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Answered by Evita G. Maths tutor
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Given df/dx=2x+3 and the graph goes through (1,1), what is the function f?

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 Thus, f = x^2+3x-3
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Answered by Evita G. Maths tutor
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How would you structure a paragraph?

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 order o...
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