What is the measured trajectory and amplitude when a horse jumps over a vertical fence?  Is there math involved in horsejumping? Each time a horse jumps over different jumps with varying heights, thetrajectory of the jump from start to finish can be measured using severaldifferent equations. When measuring trajectory in an object, there is aspecific formula to calculate the answer. This changes depending on the type ofobject and situation being measured.

With this question, height will bemeasured, vertically. There are several equations that are part of the formulato finding the trajectory. The formulas are as follows: and in order to calculate motion,given In order to find the answer, onemust separate horizontal and vertical measurements. One must also calculatelaunch velocity, angle of launch, height, peak, and time in order to findtrajectory. Each component of calculating trajectory has its own equations.Typically in the sport of jumping there is a pre-determined course of severaljumps at varying heights that the riders objective is to complete in a certainmanner and order. Sometimes the rider knows the course before hand, but moreoften than not a rider will find out the course right before the show.

There are several factors when riding a horsein order to complete a jump. Finding the projected trajectory can be beneficialto any rider attempting to jump a horse due to the fact that it can potentiallyinfluence the riders decision making on timing, speed, and method used tocomplete course. Because the jumps are typically at different heights, thespeed of the rider should be increased and or reduced accordingly. In the sportriders use specific signals and commands to their horse to ask them to jumpover the jump. Knowing the proper timing component of trajectory is imperativeto successfully completing this process. In this particular field ofresearch, previously recorded averages are vitally important to consider aseach component of the problem changes every time. A standard speed and timeshould be considered for each different height.

The horses average size should also be considered, and the breed that’sbeing measured and its average size as these numbers could change depending onthe breed. Thoroughbreds are often used as the quintessential jumping horse,which stands at an average of 16 hands, and can travel at a approximately 44miles per hour. Materials HorseTape measure Computer Arena iphone  BackgroundAn equestrian jumper must accomplishtwo things to complete a jump in the air.

They must be able to move their bodyin a certain manner position and time, and to be able to sync their actionswith the horse they are riding. This takes a specific mathematical formula toaccomplish. When this happens simultaneously, when the formula is completed, thejump is successful. Equestrian jumping includes hurdles in several differentfashions including: water,  walls andrails, gates, brush and rales, post and rail, triple bars, rail and plank,oxer, and wall. There are several different aspectsto consider when gathering data for jumps. One must consider including: theheight of the fence, speed of the horse, the angle of elevation between thehorse and the jump, the time of contact, the time of flight, and the totaldistance from the takeoff point to the landing of the horse on the two fronthooves. Each part includes many different parts that are needed to accomplishthem.   CalculationIn order to calculate trajectory youmust find several things.

You must have a “vertical position, (y), which can befound with the equation  . You must calculatethe horizontal position(x), the initial velocity (V0), the acceleration due togravity (g), and the initial velocity. The units are measured in (M) meters. As complex as it is to calculatetrajectory, one can easily display the data using a simple parabola format. Other factors to consider whenconducting these experiments are their weight and food consumption. Horses canonly consume 2.

5% of their weight every day. Weight estimation can becalculated with the formula: (g2l)/12,000. You must also considerthe size of the arena, and area around and between jumps otherwise known as”jump spacing”.

In an experiment conducted tocalculate horse trajectory, the conductor attempted to display all thesecategories and use the proper according formulas to display the results of therecorded trajectory for horses.           This graphs show and display data in regards to differentheights and different types of jumps, and their following results in trajectoryaccordingly. (Bochis Flavia). The same experimenter recorded data for onespecific jump, (vertical fence) and included it in several tables.                                  ResultsThis experimenter used severaldifferent types of jumps and materials under (as controlled variables) to get amore valid result. The validity is increased significantly when the land underthe jump is changed because it increases your data for multiple cases.

Additionally the experiments validity was increased as they used severaldifferent types of jumps which is an advantage for the same reasons. However,the only downfall that would weaken the validity is the fact that they used onehorse, and a horse will get increasingly tired as they progress in jumping. Works CitedPanara, Sawyer.”Parabola of a Horse’s Jump.” Prezi.com,28 May 2013, prezi.com/oykccdzrzqwa/parabola-of-a-horses-jump/.http://www.spasb.ro/index.php/spasb/article/viewFile/1413/1363http://www.softschools.com/formulas/physics/trajectory_formula/162/

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