WJEC Further Maths M2

Question	Answer
How are acceleration, velocity and displacement related?	\[\int a \,dt =v \] \[\int v \,dt =x\]
How would you find the work done by a force when moving an object between point a and point b given foce depends on position?	\[\int_{a}^{b} F(x)dx\]
What is the formula for elastic energy? (Tip: Think Hooke's Law)	\[\int_{0}^{x}\frac{\lambda s}{l}\,ds = \frac{\lambda x^2}{2l}\]
Give Two definitions of power: One in terms of force and velocity One in terms of work done and time	\[Power=FV\] \[Power=\frac{dW}{dt}\]
Name all 4 SUVAT	\(v=u+at\) \(s=\frac{1}{2}(u+v)t\) \(s=ut+\frac{1}{2}at^2\) \(v^2=u^2+2as\)
How would you find the vector between points A and B?	\[\overset{\rightarrow}{AB}=\mathbf{b-a}\]
What is the scalar product of two vectors in terms of a, b and \(\cos{\theta}\)?	\[\mathbf{a\cdot b}=\left \| a \right \|\left \| b \right \|\cos{\theta}\]
Give the cartesian forms of resolutes in the direction of i and j	in the direction of i: \[rcos{\theta}\] in the direction of j: \[rsin{\theta}\]
What is the scalar products of two vectors in terms of a and b?	\[\left ( a_1 \mathbf{i}+a_2\mathbf{j}+a_3\mathbf{k}\right ) \cdot \left ( b_1 \mathbf{i}+b_2\mathbf{j}+b_3\mathbf{k}\right )= a_1b_1+a_2b_2+a_3b_3\]
Give angular speed and arc length in terms of radius.	\(s=r\theta\) \(Speed=r\frac{d\theta}{dt}=rw\)

Resource summary

	Created by Jack Holmes almost 8 years ago