A vector quantity has both magnitude and direction. Acceleration, velocity, force and displacement are all examples of vector quantities. A scalar quantity has magnitude, so the direction is not important, (examples include speed, time and distance). A scalar can also have sign (such as work done and charge). Suppose we are told that after the collision, the ball of mass 1kg moves away with velocity 2m/s, then we can use the principle of conservation of momentum to determine the velocity of the other ball after the collision.

Although the following questions are predominantly from the OCR, OCR MEI and Edexcel exam boards, they are suitable practice for all UK A Level Maths qualifications unless otherwise stated. Section Mass is one significant variable to be considered when exploring the effects of motion in objects, and mass is a central variable in Newton's second law. The assessment is structured in two sections of approximately 50 marks each: pure mathematics and mechanics. Each section has a gradient of difficulty throughout the section and consists of a mix of short and long questions. A unit vector is a vector which has a magnitude of 1. There are three important unit vectors which are commonly used and these are the vectors in the direction of the x, y and z-axes. The unit vector in the direction of the x-axis is i, the unit vector in the direction of the y-axis is j and the unit vector in the direction of the z-axis is k.

Supports Paper 4 of the Cambridge International AS & A Level Mathematics syllabus for examination from 2020 In the diagram above, the vector r has magnitude r and direction j to the x-axis. Using basic trigonometry, we can calculate that the component of r in the direction of the x-axis is rcos j. The component in the direction of the y-axis is rsin j. Therefore r = rcos j i + rsin j j.

The assessment is structured in two sections of approximately 50 marks each: pure mathematics and statistics. Each section has a gradient of difficulty throughout the section and consists of a mix of short and long questions. Some questions will be set on the pre-release data set. We have the following scenario (a ball of mass 3kg is moving to the right with velocity 3m/s and a ball of mass 1kg is moving to the left with velocity 2m/s):Edexcel’s GeoGebra resources include a small number for Mechanics at A level, and more for Further Maths. Mathematics This text builds fluency in algebraic manipulation and introduces new areas including 3D vectors, differential equations and complex numbers. Extensive and varied practice sections build the key mathematical skills along with a focus on mathematics in life and work. Online answer key available.