The Scientific Realism of Super Speed

It is fun to dream about what you could do with superpowers. Would you want to fly? Be invisible? Move at super speeds? While these superpowers sound fun. the math that lies behind making this dream a reality may cause you to realize having one might not be a great idea.
In this Discussion. you will explore the mathematical concepts behind travel. such as time. velocity. and distance. You also will practice solving systems of equations based on those relationships.
To prepare for this Discussion:
o View the video on what it means mathematically to have the superpower of super speed. o Consider the following scenario: You have made it a goal to travel around the equator in 24 hours. To do this. you will need to pick up the power of super speed at some point in your journey. Reflect on the equation given in the video: • Time x velocity = distance Choose a possible velocity between 20 miles per hour and 70 miles per hour based on making this journey by car. Assuming the unknown time spent at this velocity is x. write an equation for the total distance traveled. At some point during the journey. you will gain super speed of 25.000 miles per hour as the superhero in the video did. You will travel the rest of the time needed to complete the journey at this speed. Thinking about how this relates to the total time of 24 hours. write this in terms of x. Then. write an equation for this portion of the journey. Taking into account that the total distance you must travel around the equator is 24.901 miles. Using the two equations you wrote above. write one equation you could use to solve for x. Solve for x: the time spent at the reasonably paced speed. Then. use this information to solve for the time spent at super speed. Consider whether your answer is reasonable. Why or why not? Finally. think about two downfalls as presented in the video for the time you spend at super speed.

Click the link for Joy tin’s TED Talk. If Superpowers Were Real: Super Speed:
Lin. J. (2013. June). If superpowers were real: Super speed M [Video]. TED Conferences. https://www.ted.com/talks/joy_lin_if_superpowers_were_real_super_speed#t-26187 Note: The approximate length of this media piece is 4 minutes. Also Note: Closed captioning is available on this video.
With these thoughts in mind:

Post a response to the following prompts:
• Identify the velocity you selected and write your equation for the total distance traveled assuming the unknown time spent at this velocity is x. Show your work.
• Write your equation for the portion of the journey in which you will travel at the super speed of 25.000 miles per hour.
• Write one equation you could use to solve for x.
• Solve for x: the time spent at the reasonably paced speed and use this information to solve for the time spent at super speed. Explain whether your answer is reasonable and why you believe as you do. Explain two downfalls as presented in the video for the time you will spend at super speed.
Read a selection of your classmates’ postings.

Sample Answer

Being able to move at super speed is a power that many of us have fantasized about. The idea of zooming past others in the blink of an eye is exhilarating. But is super speed just a figment of our imagination, or is it scientifically possible? In this essay, we will explore the concept of super speed and its mathematical implications. We will also discuss the potential downfalls of such a power.

To begin our exploration, let’s consider a scenario: traveling around the equator in 24 hours. Let’s assume we are traveling by car and choose a velocity between 20 miles per hour and 70 miles per hour. For the purpose of this discussion, let’s select a velocity of 50 miles per hour.

Now, let’s define the unknown time spent at this velocity as x. In order to determine the total distance traveled, we can use the equation: time x velocity = distance. Plugging in our values, we get:

x * 50 = total distance

Next, we need to account for the portion of the journey where we will travel at super speed, which is 25,000 miles per hour. Since the total time for the journey is 24 hours, the time spent at super speed can be expressed as (24 – x) hours.

At this point, we can write an equation to solve for x, the time spent at the reasonably paced speed. Taking into account that the total distance we must travel around the equator is 24,901 miles, our equation becomes:

x * 50 + (24 – x) * 25000 = 24901

Simplifying the equation, we have:

50x + 600000 – 25000x = 24901
-24950x + 600000 = 24901
-24950x = -575099
x ≈ 23.06

Therefore, the time spent at the reasonably paced speed is approximately 23.06 hours.

To find the time spent at super speed, we can substitute this value back into our equation:

24 – x ≈ 24 – 23.06 ≈ 0.94 hours

Now let’s evaluate whether these answers are reasonable. The time spent at the reasonably paced speed aligns with our initial assumption that we would be traveling for most of the journey at a slower speed. Additionally, the time spent at super speed is a relatively small fraction of the total journey time.

However, as discussed in the video by Joy Lin, there are two significant downsides to super speed. The first is the issue of perception. When moving at such incredible speeds, everything around us would appear to be in slow motion. This could lead to feelings of isolation and disconnect from the world.

The second downfall is the potential for accidents and collisions. With super speed comes an increased risk of not being able to react in time to obstacles or changing conditions. The video highlights how even a small insect could cause significant harm when collided with at high speeds.

In conclusion, while super speed may seem like an exciting superpower to possess, the mathematical implications and potential downsides suggest that it may not be as desirable as it appears. The concept of super speed raises important questions about perception and safety that need to be considered before wishing for such a power.

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