By Roger Porkess, Sophie Goldie
This fresh sequence has been written for the college of Cambridge foreign Examinations direction for AS and a degree arithmetic (9709). This name covers the necessities of M1 and M2. The authors are skilled examiners and academics who've written widely at this point, so have ensured all mathematical ideas are defined utilizing language and terminology that's applicable for college kids the world over. scholars are provded with transparent and distinctive labored examples and questions from Cambridge foreign prior papers, in order that they be able for lots of crucial examination perform. every one publication encompasses a unfastened CD-ROM which good points the original 'Personal educate' and 'Test your self' electronic assets that may aid scholars revise and toughen suggestions clear of the study room: - With own coach each one pupil has entry to audio-visual, step by step help via exam-style questions - The try out your self interactive a number of selection questions establish weaknesses and element scholars within the correct path
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Extra resources for Cambridge International AS and A Level Mathematics Mechanics
Iv) When the speed of the coin is decreasing as it moves upwards there must be a net downward force to make the velocity decrease and slow the coin down as it moves upwards. In this case W > R and the net force is W − R. 17 A book is resting on an otherwise empty table. (i) (ii) 2 Exercise 3B (ii) When M1 3 Draw diagrams showing the forces acting on (a) the book (b) the table as seen from the side. Write down equations connecting the forces acting on the book and on the table. You balance a coin on your finger and move it up and down.
The constant acceleration formulae The velocity–time graph shows part of the motion of a car on a fairground ride as it picks up speed. The graph is a straight line so the velocity increases at a constant rate and the car has a constant acceleration which is equal to the gradient of the graph. The velocity increases from 4 m s –1 to 24 m s –1 in 10 s so its acceleration is 24 − 4 = 2 ms– 2 . 3 (on the next page), the increase in velocity is (v − u) m s–1 and the constant acceleration a m s–2 is given by v −u =a t 24 So v − u = at v = u + at.
The parachute is designed to make use of air resistance. A resistance force is present whenever a solid object moves through a liquid or gas. It acts in the opposite direction to the motion and depends on the speed of the object. The crate also experiences air resistance, but to a lesser extent than the parachute. Other forces are the tensions in the guy lines attaching the crate to the parachute. These pull upwards on the crate and downwards on the parachute. All these forces can be shown most clearly if you draw force diagrams for the crate and the parachute.