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Why is Kinetic Energy mv^2/2?

Whilst this proof is beyond the scope of A level physics, it is well within the scope of A level Maths as it relies solely on the chain rule.First let us note that F x = W where F is force, x is distance and...
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Answered by Vandan P. • Physics tutor
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How to sum an arithmetic progression?

Whilst it is very easy to just plug the numbers into the formula you are given on your formula sheet there is a much faster and more intuitive method of doing this. If we have n numbers beginning at a with a...
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Answered by Vandan P. • Maths tutor
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What is sin(x)/x for x =0?

I'm going to show the answer to this question in two different ways. - The first is perhaps more obvious but the second is much more elegant.Taylor series expansion: Using Taylor expansion (or your trusty A ...
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The price of a TV is reduced in a sale by 30%. If the sale price is £280 what was the original price?

A question from 13 + specimen paper. After the price of TV is reduced 30 % the price is £280. This means that £280 is 70% of the original price. Therefore if you make an equation 280 x 100 / 70 you will get ...
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Answered by Taeseong K. • Maths tutor
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Expand (2x-3)(4x+4) using the FOIL method.

Question: Expand (2x-3)(4x+4) We will be using the FOIL method. FOIL is an ancronym: F=first O=outside I=inside L=last So, to begin, we start with the first term in each bracket, and multiply them together. ...
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Answered by Miriam W. • Maths tutor
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