Physics of Sports Videos
Info
Our physics of sports video is about E-Sports. E-sports is a competitive multiplayer game usually played by professional gamers. We (my group and I) chose to do it on Mario Kart. How the game works is it follows an Italian plumber named Mario into adventures against goombas and jumping over bricks. It is pretty entertaining and fun, especially when playing against a friend.
What we did in the video is explain some of the physics in the game of Mario. We also explain how long it takes to get to maximum jump (hold button down) so it can help in playing the game and knowing how long to hold the button to jump at maximum height. We also compared some of the physics to other real life things.
Physics and more Info
Mario is an Italian Plumber, he is 5'1 feet tall or 155 cm. His height is equal to 61 raviolis. Mario's weight is 209 pounds (on Earth) which is equal to 80 large pepperoni pizzas. Mario is classified as obese because the average weight of a man with height of 5'1 is 116 pounds while Mario passes that weight by 93 pounds more (than what is average). In metric units Mario's mass would be 95 kg. Mario is 24 years old and runs a 5:30 mile. My group and I found all this out by using canon data charts by super fans of Mario.
Mario falls 3.5 meters in 0.435 seconds, we timed footage of Mario jumping at maximum height and weighed out his height with his jump height which is how we found that Mario falls 3.5 meters in 0.435 seconds. We can plug these numbers in to the equation d=1/2a(t^2) to find gravity of the mushroom kingdom. 3.5 meters=1/2a(0.435^2). 3.5m/0.189= 1/2a(0.435^2)/0.189 which leads to acceleration due to gravity equaling 37 m/s^2. Mario is on a different planet. Mario being on a different planet changes his weight. Mario has the weight of 21,600 golf ball sized meatballs, otherwise known as 789 pounds (on his planet).
With the following information above, we would want to calculate a few other key factors to solve the horizontal, vertical, and total velocity. With these velocities and time, it would help us figure out how long to hold the jump button for Mario to jump at maximum height. With vertical velocity, it would help tell us how far away Mario has to be from to land on his target. Since we know that Mario falls 3.5 meters in 0.435 seconds and the acceleration due to gravity is 37 m/s^2. The vertical velocity can be solved by putting in the numbers into the equation v=gt, which is the equation for vertical velocity. Vertical velocity=37 m/s^2(0.435 s)=16.1 m/s or otherwise known as 36.01 mph. To find the horizontal velocity you could use the equation v=12.4/ 0.86 to find horizontal velocity for Mario to be 14.42 m/s or 32.3 mph. We found the horizontal velocity by finding footage of Mario running at maximum speed and knowing that there are perfect squares and Mario is one brick tall, leads to how we know they are as long as they are tall which is how we found the distance.
We can find the vector velocity with both the vertical and horizontal velocity, that is 21.6 m/s or 48.3 mph. Now to find the force we will use the total velocities, Mario's mass, and his fall time. Since the acceleration due to gravity on earth is 9.8 m/s^2 and Mario's weight is 209 pounds, we can find Mario's mass by using the equation m=w/Ag: w= weight, Ag= acceleration due to gravity, m= mass, and /= dividing. Using that equation we found that Mario's mass would be 21 pounds or 9.69 kg. Using equation for Force, Ft=mv we can plug is the numbers. Solve the equation 9.69(16.1)= F(0.06) to get Force of Mario's jump to be 2340.15 N is the force Mario's foot applies to ground. Knowing Mario's velocities of Mario's jump and we also have the times, we can use this to know how long we need to hold the jump button to reach maximum height. You would need to hold the button for 0.25 seconds. Using the vertical velocity to find how far Mario has to be from his target to land on it, he has to be 6.2 bricks away from target.
That would be how to apply physics to help in playing Mario Kart better.
Reflection
I felt like for when we were doing the editing in imovie I could not help much. It was more of a one person thing. And I don't really know how to use imovie. I was learning how to on how my teammate did it. I helped with the calculations and a few other stuff. I also filmed a few parts and said a few parts. I also had more of an idea of what was going on. I feel really good about the project. One other downfall is that our timing was off so we had to redo the calculations and had to reedit the video to match with new calculations. Our time was off by 0.2 seconds which threw us off by a lot. At least It was good because we got to redo the calculations just plugging in the new changes which was not that hard calculating new calculations after doing it the first time, except plugging them in the video was difficult. I learned it is good to ask for help and in what ways one could help if you are having trouble deciding how to help.
I felt pretty good about this project, it was fun working with others. They help me, although I may be a bit stubborn and shy when I need help. I have to work on that. Some things I can do better is speak more loudly and clearly. Just speak more in general.
Physics of E-Sports Video Below: