Posts Tagged ‘Parabola’

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Parabolas and the Art of Spitting

May 5, 2017

The maths that proves that the 45 degree angle is the angle that produces the maximum distance travelled is quite tricky and involves trigonometry. But this just shows how cool maths can be. See the full calculations here.

More long bow maths here at ROBINHOOD GIVE US YOUR BEST SHOT

Interesting maths work on WHICH SPORT IS MORE DANGEROUS, BASEBALL OR CRICKET? here.

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2. One Rule Aerial Skiers Cannot Break

January 23, 2014

Aerial skiers aim for height rather than length. Their aerial flight times are much smaller than ski jumpers so air resistance has minimal impact.

In fact, there is one law the aerial skiers cannot break. It is the law of gravity.

Here is an equation for  projectile motion from Wired magazine.

Screen grab from Wired Magazine

Screen grab from Wired Magazine

Here is the x-y graph for different launch angles.

trajectory wired magazine

trajectory wired magazine

You can go to this page for complete calculations. Aerial skiers twist and turn but their CENTRE OF GRAVITY must follow this graph. MOre on centre of Gravity at The Great Back Pack Attack ie.

The centre of gravity of Aerial Skiers must follow a

parabolic curve.

Aerial Parabola final 1

 

Aerial Parabola final 2

 

Rocky Maloney Winter X Games Aspen

Rocky Maloney Winter X Games Aspen

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3 Ellipsoid Collipsoid

April 9, 2013

Maths-is-Awesome Activity

Ellipsoid Collipsoid

Skill: Geometry, scale, ratio, conic sections, ellipses, parabolas, hyperbolas and more.

Level: Senior School

102 Conic section 1901

Senior maths students are busy, mathspiggies. But insipration energises.

Mathspig was amaaaaaazed by these cardboard models were made by Martin Schilling because he made them in 1901. This was long before computers made the job easier. More info here.This is what a car looked like in 1901.

car 1901

If Martin Schilling could make these Conic Sections, so can any senior student. You will find Conic Section diagrams and equations here.

Could you do this mathspiggies?

Make a conic section in 3D?