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What is kinematics?? Analysing the motion of an object (without caring about what causes the motion). Why would $10.1 \pm 0.5ms^{-2}$ be an acceptable value for $g$?? Because the actual value of $g$ is $9.81ms^{-2}$, so the result is within the range of uncertainty. What did Galileo predict about the motion of a falling object?? That its acceleration is uniform. What is the equation for the velocity of a falling object?? $$ v = at $$

What is the formula for the sum of the cubes of the first $n$ natural numbers?? $$ \sum^{n}_{r=1} r^3 = \frac{1}{4}n^2(n+1)^2 $$ How could you rewrite $\sum^{n}_{r=1} r^3$?? $$ \frac{1}{4}n^2(n+1)^2 $$ What’s another way of expressing $\frac{1}{4}n^2(n+1)^2$?? $$ \sum^{n}_{r=1} r^3 $$ How could you rewrite $\sum^{n}_{r=1} 4r^2$?? $$ n^2(n+1)^2 $$ What’s an easy way for remembering the sum of cubes formula?? It’s the sum of the natural numbers formula squared. Backlinks [[Further Maths - Series]]S [[Further Maths - Syllabus]]S Metadata date: 2020-09-16 17:57 tags: - '@?

What is the formula for the sum of the squares of the $n$ natural numbers?? $$ \sum^{n}_{r=1} r^2 = \frac{1}{6}n(n+1)(2n+1) $$ How could you rewrite $\sum^{n}_{r=1} r^2$?? $$ \frac{1}{6}n(n+1)(2n+1) $$ What’s another way of expressing $\frac{1}{6}n(n+1)(2n+1)$?? $$ \sum^{n}_{r=1} r^2 $$ How could you rewrite $\sum^{n}_{r=1} 3r^2$?? $$ \frac{1}{3}n(n+1)(2n+1) $$ Backlinks [[Further Maths - Series]]S [[Further Maths - Syllabus]]S Metadata date: 2020-09-16 17:57 tags: - '@?further-maths' - '@?series' - '@?

What is the Comdlg32 DLL?? The library that looks after dialog boxes. What is the name of the library that looks after dialog boxes?? Comdlg32. What is the advantage to using a library?? It’s efficient due to code re-use. What’s an advantage of code reuse?? You only have to fix issues once. Code reuse enourages what architecture of programs?? Modular architecture. Backlinks [[Computing - Syllabus]]S Metadata date: 2020-09-16 10:09 tags: - '@?

What is a population?? The whole set of items that are of interest when collecting data. What is a sample?? A subset of a population that is intended to represent the populations. What’s an example of a population?? All humans in the UK All light bulbs in a factory All the cars in Europe What is a sampling unit?? Each individual thing in the population that can be sampled. What is a sampling frame?

What is machine code?? The lowest level of instruction comprising pure binary. What are the three types of translator?? Assembler Compiler Interpreters What is the function of an assembler?? Translating assembly language into machine code. What is the function of a compiler?? Translate high-level language programs into object code/machine. Backlinks [[Computing - Syllabus]]S Metadata date: 2020-09-14 14:28 tags: - '@?computing' - '@?school' - '@?public' - '@?safe-to-post-online' title: Computing - Translators and Machine Code

What is hardware?? The physical, tangible parts of the computer. What is software?? All the programs that make the computer function. You can’t touch it. What is the hardware part of a music CD?? The physical CD itself. What are the two grooves in a CD called?? Pits and lands. What do the pits and lands in a CD represent?? 0s and 1s. What are the two types of software?? Systems software Application software What is a peripheral device?

Sums of Natural Numbers What are the natural numbers?? $1, 2, 3, 4, 5, 6\ldots$ What are the whole numbers?? $0, 1, 2, 3, 4, 5, 6\ldots$ What’s another name for the sum of the first $n$ natural numbers?? The triangle numbers. How can you visualise the sum of the first $n$ natural numbers?? As a triangle. How can you visualise the sum of the first $n$ natural numbers, doubled?? As a $n \times (n+1)$ square.

Series Core 1 [[Further Maths - Sums of Natural Numbers]]S [[Further Maths - Sums of Squares]]S [[Further Maths - Sums of Cubes]]S [[Further Maths - Series Tips and Tricks]]S [[Further Maths - Induction for Series]]S Core 2 [[Further Maths - The Method of Differences]]S Flashcards What is a series?? A sum of sequential terms. What is the notation for series?

What is the formula for the midpoint between two points?? $$ (\frac{(x_2 - x_1)}{2}, \frac{(y_2 - y_1)}{2}) $$ What is the formula for the distance between two points?? $$ \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2} $$ Pythagoras What is the formula for the gradient between two points?? $$ \frac{y_2 - y_1}{x_2 - x_1} = \frac{\text{rise}}{\text{run}} $$ What are the two main ways of expressing the quation of a straight line?? $y = mx + c$ $ax + by + c = 0$ When using the $ax+by+c=0$ form of a straight line equation, there is an expectation that…?

Uncertainty What are the two types of uncertainty?? Absolute uncertainty Percentage uncertainty What is absolute uncertainty?? A number that gives the range of values for an experiment. E.g. $7.3mm \pm 0.2mm$ What is percentage uncertainty equal to for a single measurement?? The resolution of the equipment. What is percentage uncertainty equal to for multiple measurements?? The range of values divided by two. What is the percentage uncertainty for $0.65mm, 0.58mm, 0.62mm$?? $\pm 0.

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