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Name an experiment proving that light is wave and one that is proving that light consists of particles.

wave: interference experiments e.g. double slit experiment particles: photo-electric effect
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Answered by Evita G. • Physics tutor
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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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