If aircraft A took of at 10am flying at 170 mph and aircraft B took of at 10.45am flying at 230 mph. When would they meet and how far would they have travelled?
Va (Speed of Aircraft A) = 170 mph Vb (Speed of Aircraft B) = 230 mph Departure time of A: 10:00 Departure time of A: 10:45 45 minutes = 0.75 hours After 45 minutes Distance travelled by Aircraft A: D = Va x 45 minutes = 170 x 0.75 = 127.5 miles Now calculate relative speed of aircraft B: V = Vb - Va = 230 - 170 = 60 mph Now calculate time taken for Aircraft B to catch up. ie time taken for Aircraft B to travel 127.5 miles at 60 mph: T = 127.5 / 60 = 2.125 hours Now calculate total distance Aircraft A has travelled: Da = 170 x 2.875 (2.125 + 0.75) = 488.75 miles Total distance Aircraft B has travelled: Db = 230 x 2.125 = 488.75 miles Therefore, total distance both aircraft have now travelled: 488.75 + 488.75 = 977.5 miles Time taken to meet: T = Db / Vb = 488.75 / 230 = 2.125 hours after Aircraft B departs. This is equivalent of 127.5 minutes (2.125 x 60). So 10:45 + 127.5 minutes = 12:52:30 (12:52pm and 30 seconds). Or T = Da / Va = 488.75 / 170 = 2.875 hours after Aircraft A departs. 10:00 + 172.5 = 12:52:30 |
Are the oxford cds any good? Do they have lots of practice questions or are they just GCSE recaps?
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The CDs cover all the maths GCSE syllabus and contain quite a large question bank.
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Keep it simple.
The idea of the test is speed and accuracy, aircraft A has 3/4 of an hour head start at 170, so 170x 3/4=127.5
The time for B to catch up is this distance divided by the difference in speeds. 127.5/60=2.125 hours. The rest should be easy,Ouesburns total distances are wrong though. They are trying to see if you can work things out quickly, imagine if you were in the air trying to do it the long way, there isn't time. By the way i'm an old ghit (yes,42!) and i passed OAT last year and i only have 7 O levels and an HNC, no degree. I also worried about the test's, did some revision using some gcse books and passed physics and maths with 100%. All the best. |
So have both Persephone and I got the total distance wrong? What should it be?
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distanc travelled
Hi,
At the point the aircraft meet they will have travelled the same distance, 488.75 miles each. A has travelled for 2.875 hrs at 170 mph=488.75 miles(don't forget the 45 min head start) B has travelled for 2.125 hrs at 230 mph=488.75 miles Therefore total distance travelled is 488.75x2=977.5 miles Nick. |
Cheers Nick! :ok:
Have updated my post above with the correct solution... |
So I got the essential maths CD. Are the questions in that similar to the questions in the assessment? Don't think the cd mentions the assessment anywhere?
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roll_over,
Do not be worried about the example above, the questions they will give you will envolve no decimal places, at most possibly 1, nothing like the above :) I belive the CD's are 'essential' for the course, after the assesment (someone may correct me on that) But assuming that, if you revise, learn most subjects on the CD I don't see why you would have a problem with the assesment. My advice is to practice quick maths, quick addition , subtraction, long division etc. Here is a list of the subjects for the START of the course, so the assesment isn't far from this: MATHS Algebraic Substitution Simple equations Subject of the formulae Factorisation Expand and simplify Indices Functions The line Travel graph Numbers Percentages Areas and volumes Pythagoras theory and trigonometry Problems in bearings Geometric terms The circle Vectors Practice Mental Maths !! Here is the Physics aswell: PHYSICS Mechanics Work and power Energy Potential and kinetic Input and output energy Pressure - solid liquids and atmospheric Principles of Hydraulics Gears and cogs Linear motion equations Gradient Distance time graph - Velocity time graphs Force and momentum Resultant force Newton's Law Forces Mass, weight and density Vectors and scalars Center of gravity (moments and balance) The turning effect of forces The law of moments: levers Parallel forces in equilibrium Couples Principles of gyros Principles of piston and turbo jet engines The Otto cycle (engines) (You must be familiar with both Imperial and Metric units and be able to convert one to the other) Sound Longitudinal waves Sound waves Stationary waves Optics Sources and reflectors of light Magnification Reflection Laws Refraction Convex and concave Magnifying glass Dispersion Heat Heat and temperature Internal energy Temp scales: including Kelvin and converting temperature from one scale to another Heating and cooling curves Melting Boiling Evaporation Gas pressure Pressure and temperature of a gas Volume and temperature of a gas Volume and pressure of a gas Expansion on matter Heat transmission: - Conduction - Convection and radiation Boyles, Charles and the General Gas Laws Magnetism (Ideally you should understand the following but it is not essential) Magnets Theory of magnetism Magnetic fields and neutral points Magnetic effect of current through wire - coil and solenoid Electromagnetic Motor effect of current through a wire The simple D.c motor Electromagnetic induction in a straight wire - solenoid Transformers The transmission of electrical power Fields and rule Current electricity (Ideally you should understand the following but it is not essential) Circuit components and diagram Electric circuits Potential Difference Electrical resistance Ohms law Series parallel and mixed circuits Heating effect of an electric current Electrical power Direct current and alternating current The live, neutral and earth wires Circuit Breakers, fuses and switches Principles of electric generators General General outline of metals and materials commonly used in aircraft The principles of aerodynamic lift Cloud formation and general principles of meteorology Confidence in handling numbers and ability in mental arithmetic It seems like a lot, but once you get your head down, your see some of it fits in with eachother nicely. Considering I havn't done Physics in 10 years? And I did double Science, not Physics seperately at GCSE and got 13/15 it isn't as bad as it seems. As for the maths, there will be a question on Pythagoras in your maths, so remember to cover that. Just practice mental maths, I can't say that enough. None of the questions are exactly hard but with the limited time, you really don't have time to spend on the easier questions as later on your need it! This is were I didn't do so great, double checking answers wasted time I needed later on. Persephone - I did it Nickys way :) |
but they must see potential in me |
4kbeta quote "I worked it out as 12:51ish & 483ish miles"
You did it nicky's way and ended up with a different answer :sad: As for nicky's answer, well it depends on how you read the question. I'll stick with my original answer. |
by '1251ish' I meant roughly. Didn't have time to work it out exactly but I knew it would be around 1251-1252 :-)
Anyhow its irrelevant, each to there own, an answer one way is the same as the answer the other way |
Hi guys, some really useful stuff here!
Hopefully giving the OAA assessment a go some time during the next couple of weeks. Got a pretty clear idea on the maths test, but what's the physics like? Is it fairly similar to the Cabair assessment (for anyone who has done that as well) Also, if anyone wants any info on the Cabair assessment, then just send me a message :) |
Finite_World..
the sorts of things that were in the physics test when I was there included how a 4 stroke engine works, how clouds are formed (meteorology) newton's laws, moments (M=Force x perpendicular distance) distance/ speed/ time question. the basic GCSE physics as what's on the bitesize web site hope that helps |
Cheers Adam, Thanks for the info, I'll be sure to log on the BBC for some revision!
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