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The Exploration Guides can be downloaded here and the Paper 3 Questions can be downloaded here. Students always make the same mistakes when doing their coursework – get the inside track from an IB moderator! I have also made Paper 3 packs for HL Analysis and also Applications students to help prepare for their Paper 3 exams. I’ve put together a 168 page Super Exploration Guide to talk students and teachers through all aspects of producing an excellent coursework submission. I think this could save teachers 200+ hours of preparation time in delivering an IB maths course – so it should be well worth exploring!Įssential Resources for both IB teachers and IB studentsġ) Exploration Guides and Paper 3 Resources
#Ib projectile motion equations full#
Original Paper 3 investigations (with full worked solutions) to develop investigative techniques and support both the exploration and the Paper 3 examination.These make great homework sheets or in class worksheets – and are each designed to last between 40 minutes and 1 hour.
#Ib projectile motion equations pdf#
Original pdf worksheets (with full worked solutions) designed to cover all the syllabus topics.The content now includes over 2000 pages of pdf content for the entire SL and HL Analysis syllabus and also the SL Applications syllabus. This has been designed specifically for teachers of mathematics at international schools. If you are a teacher then please also visit my new site. And as for the gravity at the surface of a black hole you wouldn’t get anywhere close to throwing it a nanometer high (1 billionth of a meter). If you were on the surface of the Sun then probably the least of your worries would be how hight to throw an object, nevertheless you’d be struggling to throw it 20cm high. We can see how dramatically life would be on each surface! Whilst on Earth you may be able to throw to a height of around 5m with a launch velocity of 10 m/s., Enceladus would see you achieve an incredible 450m. For example if we take our launch angle (theta) as 45 degrees this will give the coordinates of the maximum point at: Here we have v = 10 and g = 7×10 12m/s 2. This causes some issues graphically! I’ll use the equations derived in the last post to find the coordinates of the maximum point for a given launch angle theta: Note that the mass of the projectile is not relevant (though it would require more force to achieve the required velocity). So for each one let’s see what would happen if we launched a projectile with a velocity of 10 m/s.
We have the following values for the gravitational pull of various objects:Įnceladus (Moon of Saturn): 0.111 m/s 2, The Moon: 1.62 m/s 2, Jupiter: 24.8 m/s 2, The Sun: 274 m/s 2, White dwarf black hole surface gravity: 7×10 12m/s 2. Therefore we can see that the maximum height that we achieve is around 5m and the maximum horizontal distance is around 10m. On the y axis we have the vertical height, and on the x axis the horizontal distance. When we vary the angle of launch we get the folowing graphs: Say we take a projectile and launch it with a velocity of 10 m/s. Here t is the parameter, v is the initial velocity which we will keep constant, theta is the angle of launch which we will vary, and g is the gravitational constant which on Earth we will take as 9.81 m/s 2. The following graphs are all plotted in parametric form. We can also do some interesting things with projectile motion if we vary the gravitational pull when we look at projectile motion.
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