Math Exploration: 'The Physics Behind Equestrian'
Math Exploration:
The Physics Behind Equestrian
Before this exploration begins, it is important to be informed of the definitions of many equestrian terms that will be used in this exploration.
Equestrian: Of or relating to horseback riding or horseback riders. (Kirkland, Sarah)
Walk: The walk has a distinct four beat rhythm. When the horse is walking, its movement is easily accounted for by the rider. (Kirkland, Sarah)
Trot: The trot has a two beat rhythm to it. It is much harder to adjust to the trot than to walking because the rider is bounced up and down with each pace. This bouncing causes the rider to be thrown up and down, hitting the saddle pretty hard easily unseating them if they do not adjust properly …show more content…
25 feet in one minute can be transferred into an equation of feet/hour by multiplying the answer by 60. Eleanor will have to travel at a speed of 1500 feet/hour.
Show jumping and formulas
There are three steps involved in a jump in the sport of show jumping.
1) The approach: Involves the first three strides taken before the take-off in front of a jump.
2) The jump: The air time as the horse rises in the air, experiences all feet off the ground and then descends back down on the ground.
3) The landing: Includes the impact of the horse hitting the ground and the follow through as both horse and rider return to their normal …show more content…
The most important part of this process is to regulate the speed of the horse’s approach so that the horse has enough speed to clear the jump. The process will be explained in formulas in the following paragraphs.
The Approach: Upon approaching the fence, the horse and rider only possess kinetic energy (Energy possessed by being in motion). The formula for kinetic energy can be seen in the following diagram. (Erin R., March 2003)
Figure 4)
The formula for kinetic energy can be explained using Newton’s laws. First, let us have a constant force, F, acting over a distance s acting on a particle of mass m, then, Fs = KE. Now we use Newton’s law KE = mas where a is the acceleration of the horse. Now we use v2=u2+2as where v is our final velocity and u is our initial velocity. If we assume that the horse was initially standing at a halt and then accelerated over the jump, then u=0 and we define the KE at velocity zero to be zero. Then figure four is equal to an arbitrary velocity for v. (B., A. September 2011)
The Jump: Over the top of the fence, the horse and rider reach maximum height and their velocity is reduced to zero; thus, they possess only potential Energy, PE. (Erin R. March 2003) This potential energy is expressed by:
Figure
The Physics Behind Equestrian
Before this exploration begins, it is important to be informed of the definitions of many equestrian terms that will be used in this exploration.
Equestrian: Of or relating to horseback riding or horseback riders. (Kirkland, Sarah)
Walk: The walk has a distinct four beat rhythm. When the horse is walking, its movement is easily accounted for by the rider. (Kirkland, Sarah)
Trot: The trot has a two beat rhythm to it. It is much harder to adjust to the trot than to walking because the rider is bounced up and down with each pace. This bouncing causes the rider to be thrown up and down, hitting the saddle pretty hard easily unseating them if they do not adjust properly …show more content…
25 feet in one minute can be transferred into an equation of feet/hour by multiplying the answer by 60. Eleanor will have to travel at a speed of 1500 feet/hour.
Show jumping and formulas
There are three steps involved in a jump in the sport of show jumping.
1) The approach: Involves the first three strides taken before the take-off in front of a jump.
2) The jump: The air time as the horse rises in the air, experiences all feet off the ground and then descends back down on the ground.
3) The landing: Includes the impact of the horse hitting the ground and the follow through as both horse and rider return to their normal …show more content…
The most important part of this process is to regulate the speed of the horse’s approach so that the horse has enough speed to clear the jump. The process will be explained in formulas in the following paragraphs.
The Approach: Upon approaching the fence, the horse and rider only possess kinetic energy (Energy possessed by being in motion). The formula for kinetic energy can be seen in the following diagram. (Erin R., March 2003)
Figure 4)
The formula for kinetic energy can be explained using Newton’s laws. First, let us have a constant force, F, acting over a distance s acting on a particle of mass m, then, Fs = KE. Now we use Newton’s law KE = mas where a is the acceleration of the horse. Now we use v2=u2+2as where v is our final velocity and u is our initial velocity. If we assume that the horse was initially standing at a halt and then accelerated over the jump, then u=0 and we define the KE at velocity zero to be zero. Then figure four is equal to an arbitrary velocity for v. (B., A. September 2011)
The Jump: Over the top of the fence, the horse and rider reach maximum height and their velocity is reduced to zero; thus, they possess only potential Energy, PE. (Erin R. March 2003) This potential energy is expressed by:
Figure