Cameroon GCE A-Level Pure Math with Mechanics case studies
Cameroon GCE A-Level Pure Math with Mechanics · Put your knowledge to work in context.
The Cameroon GCE A-Level Pure Mathematics with Mechanics is an advanced written examination taken after the GCE Advanced Level course, typically by students who have completed the Ordinary Level and intend to enter university science, engineering, or mathematics programmes. It combines a pure mathematics component - algebra, coordinate geometry, series, trigonometry, logarithms, calculus and vectors - with a mechanics component covering kinematics, Newtonian dynamics, statics and moments. The Cameroon GCE A-Level Pure Math with Mechanics case studies are 5 cases and about 2,552 words.
1Calibrating a Quadratic Power Model with a Restricted Inverse
A small wind-turbine test rig produces a useful power output modelled by P(v) = v^2 − 6v + k kilowatts for wind speeds v ≥ 3 m/s, where v is measured in m/s and k is a calibration constant. The technician needs the output to have range [1, ∞).
519 words, about 3 min2Open Tank Cost Minimisation under a Height Restriction
A metal fabricator is designing an open-topped rectangular tank with a square base to hold 32 m³ of liquid. The base is made from reinforced sheet costing 3 currency units per square metre, while the four vertical sides use standard sheet costing 2 currency units per square metre.
487 words, about 2 min3Projectile over a Practice Wall
During a training session, a player kicks a ball from level ground with initial speed 20 m/s at 35° above the horizontal, aiming at a vertical practice wall 25 m away. The wall is 8 m high, and the ball must pass over it to reach the target area behind.
434 words, about 2 min4Connected Blocks with Friction and an Added Mass
In a laboratory experiment, block A of mass 4 kg rests on a rough horizontal bench and is connected by a light inextensible string over a smooth pulley at the bench edge to hanging block B of mass 3 kg. The coefficient of friction between A and the bench is 0.25.
610 words, about 3 min5Painter on a Ladder in Limiting Equilibrium
A uniform ladder AB of length 5 m and mass 15 kg leans against a smooth vertical wall at B and rests on rough horizontal ground at A. The ladder makes an angle of 60° with the ground.
502 words, about 3 min