MATSEC IM Applied Mathematics case studies
MATSEC IM Applied Mathematics · Put your knowledge to work in context.
The Intermediate Matriculation (IM) Applied Mathematics qualification is one of four examination levels offered by the MATSEC Examinations Board at the University of Malta, alongside SEC, SEAC and AM. It sits at intermediate matriculation level and is typically taken by candidates who need a mathematics component to support their matriculation profile or to bridge towards mathematically demanding tertiary programmes, without the depth of an Advanced Matriculation course. The MATSEC IM Applied Mathematics case studies are 5 cases and about 2,790 words.
1Block on a Rough Incline with a Hanging Mass
A block of mass 4.0 kg rests on a rough plane inclined at 25° to the horizontal. The coefficient of friction between the block and the plane is 0.30.
561 words, about 3 min2Clearing a Wall: Projectile Judgement
A football is kicked from level ground with an initial speed of 18 m/s at 35° above the horizontal. A vertical wall 2.5 m high stands 20 m from the kicker.
494 words, about 2 min3Head-on Collision of Two Trolleys
Trolley A, of mass 2.0 kg, moves to the right at 3.0 m/s on a smooth horizontal track. It collides head-on with trolley B, of mass 3.0 kg, which is moving to the left at 2.0 m/s.
594 words, about 3 min4Car Climbing a Gradient at Constant Speed
A car of mass 1200 kg climbs a straight road inclined at an angle θ to the horizontal, where sin θ = 0.10. At a steady speed of 15 m/s, the total resistive force opposing the motion (friction and air resistance combined) is 500 N.
507 words, about 3 min5Non-uniform Beam on Two Supports
A non-uniform horizontal beam AB has length 6.0 m and mass 25 kg. Its centre of mass is 2.5 m from A.
634 words, about 3 min