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Assignment Task :

Assessment objectives

This assessment instrument is used to determine student achievement in the following objectives:

  1. Select, recall and use facts, rules, definitions and procedures drawn from Unit 2 Topics 5.

  2. Comprehend mathematical concepts and techniques drawn from Unit 2 Topics 5.

  3. Communicate using mathematical, statistical and everyday language and conventions.

  4. Evaluate the reasonableness of solutions.

  5. Justify procedures and decisions by explaining mathematical reasoning.

  6. Solve problems by applying mathematical concepts and techniques drawn

 

Context
Tortoises, start your engines for the Inaugural Zootopia 12000, proudly sponsored by AWC Corporate Partners Terra Australis and Indigie Arts.
The Inaugural Zootopia 12000 is an extraordinary tortoise racing event to be introduced at Adelaide Zoo’s annual Zootopia Celebrations on October 25th. The concept was designed to highlight the plight of the Western Swamp Tortoise; Australia’s smallest freshwater tortoise. This now endangered reptile was once commonplace in the swamps and rivers surrounding the city of Perth, Western Australia.  However, as a result of the introduction of non-native feral predators the number of Western Swamp  In a joint mission, involving both the Perth and Adelaide Zoos together with Australian Wildlife Conservation (AWC) partners, a plan was conceived to protect this species from extinction and eventually revitalise numbers in the wild. Capitalising on the Australian love of competitive sports it was decided to include a race that would inspire wildlife supporters to help fund research and breeding efforts. 

Experienced racing commentator Bruce McAvaney and Grand Prix Champion Mick Doohan will begin their pre-race commentary leading up to the parade lap at 11:30am. Following the parade, Mick Doohan will also serve as Grand Marshal to start the race with the green flag and later wave the checkered flag to signal the winner!
It’s always exciting to cheer on the tortoises as they race down the straight track! Truly with tortoises, anything can happen. Any three of the 18 species of tortoises could qualify for the final, ultimate Zootopia 12000. 
The tortoise race is expected to be one of the most popular events and has been highlighted by Top Events Australia website as one of the unmissable events in South Australia! Come out and see why the “Greatest Spectacle in Tortoise Racing” will become such a beloved annual zoo event.

 

Task
Your task is to design possible models for the final three contestants in the Zootopia 12000.  The models for each tortoise must reflect different constraints, obviously as a result of the tortoises’ physical limitations and individual idiosyncrasies.  The race will, however, be close (to a hundredth of a second) as each of the contestants vie for those highly desired race prizes.

You will submit a report that outlines the development of the models; including a graph of the race and all relevant computations – all functions must be fully developed with full mathematical justification and reasoning.

A description of the race, identifying all critical moments, needs to be included.

The length of the race is 10 metres.

The velocity of any tortoise cannot be greater than 8 metres/minute.

One tortoise must travel at a constant velocity throughout the race.

Another tortoise travels at a constant acceleration throughout the race and is given a handicap.

The third tortoise is a piecewise function whose race is defined by at least three different types of functions, options for the race design can include polynomials (excluding linear and quadratic), rational, hyperbolic, semi-circle, and/or semi-elliptical, periodic; a handicap is optional.

Use an appropriate mathematical method to demonstrate that the graph of the third tortoise is smooth throughout the race. 

A graph of the race must be produced using technology. 

All tortoises should be identified by a unique name.
 

 

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  • Uploaded By : Grace
  • Posted on : October 15th, 2018

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