In wondering how his Welsh Corgi determined the fastest path to reach his ball, Tim Pennings of Indiana University used calculus. He assumed that the dog’s approach to this problem was to “minimize the time by minimizing the distance travelled” (Pennings 1), and as an equation, he used T(y)=z-yr+x2+y 2 s , where T(y) as the time it takes for his dog to reach the ball taking the path A to D to B, which Pennings assumes is the path his dog will take (1). The total distance from A to C is expressed as z, and r is the running time while s is the swimming time. This equation is in conjunction with Figure 1.
Figure 1: Paths to the Ball, Do Dogs Know Calculus?, Pennings, Page 178.
A is the point from which the ball is thrown at the edge of a lake, B is the final resting place of the ball in the lake, and all other points are parts of paths the dog can take to reach the ball, with the path from A to D to B skirting the lake and then crossing it starting at D, the path from A to C to B entering the lake at a right angle at C, and the path A to B swimming the entire distance to the ball.
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Pennings then took his dog to the park and threw the ball into the lake. He found that the dog took the path with point D, and using his dog’s three fastest swimming and three fastest running times, he found that dog’s fastest average running time was 6.40 meters/second, and his fastest average swimming time was 0.910 meters/second. Next, Pennings plugged these averages into the equation above and simplified to find y = 0.144x. This proportion would be true if Pennings’ dog took a mathematically perfect
Materials Needed: Pond Lily pads with numbers Alligator head Math Skill: Greater Than Directions: One student will select a number from the pond, then another student will select a separate number. They will each place their numbers on a lily pad. As a class the students will recite the phrase: “ Alligator, Alligator sitting in a swamp.
Introduction- We did an experiment about different types of movements called kinesis and taxis. Kinesis is the change in the speed of movement or the rate of turning which is intensified by a stimulus (Meyer, 2006). Taxis is movement towards or away from a stimulus (Meyer, 2006). We did our experiment using Sowbugs.
In “Teaching a Bad Dog New Tricks,” David Buetow, a single independent man, explains how he believes in his dog teaching him new tricks. Buetow “tries to emulate”(41) Duncan following the ways Duncan lives his life. Buetow before having Duncan considered himself “street smart” (42) shyly avoiding eye contact with people he didn’t know or think he wanted to know. Duncan changed all that now Buetow started to smile at others he didn’t know or even greet others too, when his dog Duncan stopped to say hello.
Hatchet is a book by Gary Paulsen. The story takes place in a plane crash, which took place in the middle of a Canadian forest. After the pilot, who was flying the plane, had a heart attack, leaving a kid at the controls. Luckily the kid came out with bruises and scratches. The main character is 13 year old Brian Robeson, Brian’s mother, Brian’s father, and a pilot.
He talks to the boy, Angus, and asks him if he would like to play handball. Within the next days, other boys started to ask if they could play and Anh had then made a great handball competition. The illustration beneath the text displays a tennis ball. It 's yellow and looks worn out. The tennis ball in this page represents happiness and friendship as they were both done and achieved through the handball games.
The dog did not want to go. It hesitated until the man pushed it forward. Then it went quickly across the white, unbroken surface. Suddenly it fell through the ice, but climbed out on the other side, which was firm." (Jack London)
Danny was running with the ball when my cousin Miguel kicked the ball away. “You are never going to make a goal on me,” Miguel yelled. That 's when the ball came rolling to Vincent. Vincent was getting ready to kick when Danny announced,“miss”. Vincent looked up and took a shot with the ball.
The book, A Dog’s Purpose, follows a dog who searches for his unique purpose in life. The canine experiences reincarnation four times, and in every one of his different lives, he tries to accomplish making his human happy. In his first life, he is Toby and lives in the Yard with a woman called Señora. Toby adjusts to his life in the Yard and assumes his purpose is to make Señora smile. He comforts her and takes pride in being her favorite.
As I throw the ball into the gushing waves Halem runs after it barking and wagging his tail. When he returns to the safe shore he places the ball down and shakes the salty water all over me. Whilst laughing I grab the ball and go and sit on the sand dunes watching him run circles around other dogs and watching the sun reflect a pastel orange upon the ocean remembering the first time I saw the sunset at Cabarita beach, nearly two years ago. After I travelled for 4 hours I decided to make a pit stop at the beach to stretch my legs before I went to find my hotel for the night.
Future Experimenters might test throwing the ball at different speeds through the football passing machine. This may show something that could not be seen in the data from this experiment. In addition to receiving different data and statistics, experimenters may find outliers and anomalies that were not found in this set of data. Only testing at the one speed on the football passing machine may have hid statistical curves that could only be seen by changing the speed of the machine. By testing different speeds, it may show that normal regulation football will not actually travel the farthest.
All of a sudden everyone was lining up, it looked as though the competition was going to begin. The dogs were lined up and a judge called out the rules. Then suddenly there was a loud bang and dogs took off in every direction. Left and right, this way and that way. Into the forest and through the fields.
In this lab there were five different stations. For the first station we had to determine an unknown mass and the percent difference. To find the unknown mass we set up the equation Fleft*dleft = Fright*dright. We then substituted in the values (26.05 N * 41cm = 34cm * x N) and solved for Fright to get (320.5g). To determine the percent difference we used the formula Abs[((Value 1 - Value 2) / average of 1 & 2) * 100], substituted the values (Abs[((320.5 - 315.8) /
The play Dog Act is an unconventional play written in a post-apocalyptic setting during which the main characters Zetta and Dog are on an adventure to see "China," a famous region in the world at the time of the play. Liz Duffy Adams, the playwright, wrote the play and relayed her blueprints, the script, to directors Mandy Fox and Joe Kopyt, who worked with designers to create and present a world of their own imagination based on Adams ' script. The unique interpretation included eccentric costumes for each character, bold yet subtle implications toward sexuality and gender, as well the moving storylines executed well by the actors. The costumes a character wears are often indicative of their personality, class, and their overall characterization.
In the story “To Build a Fire” by Jack London and the short film “To Build a Fire” Directed by David Cobham a man and dog were traveling through the Yukon trail because of the gold rush. While they were travling through the Yukon trail they ran into problems along the way. During the problems the man and dog thought differently and similarly. The man and dog think differently in some situations like when the man or chechaquo(New comer) was trying to kill the dog. The man and dog also think similarly in other situations like, they both have the same idea of survival.
Mark Twain believes that dogs are superior to man because out of all animals, man is the only one that is cruel enough to inflict pain on others just for the pleasure of doing it. Twain’s short story “A Dog’s Tale”, written in 1903, displays these beliefs and is done so from a dog’s point of view. This unusual take on the story is used to help convey the theme that one shouldn’t assume the others will do the same for them. The story includes literary elements such as characterisation, structural irony and a plot and conflict. It is a story of a loyal and heroic dog which unfortunately ends in an ironic twist of fate.