Homework Help is Here – Start Your Trial Now!
Science
Physics
In class, we had modeled Usain Bolt's record-breaking sprint as a constant acceleration phase followed by a constant velocity phase. One could also model his sprint as a velocity that increases to a constant value at the finish line. Because the velocity initially changes, the acceleration will initially be non-zero; however, the velocity is constant at the end, so the acceleration is zero there. This means the acceleration cannot be constant. The simplest function with a variable acceleration would be a cubic position function. Let's model his sprint with a cubic position function: x(t) = at + bt + ct +d %3D Let's assume he starts from rest at the origin of the x-axis at time t = 0. Usain Bolt's sprint was for the 100 m dash, which he completed with at time of 9.58 s. Think about how a sprinter would run a race and determine what is known about his initial and final position, velocity, and acceleration. Do not calculate any of these quantities; these are either known or unknown from the statement of the problem. If any of these value are not known (not given), then enter "?", otherwise, enter its value. Remember that we are assuming his velocity increases to a constant value at the end of the race. t(s) x(m) Vx(m/s) ay(m/s?) 9.58 Check

In class, we had modeled Usain Bolt's record-breaking sprint as a constant acceleration phase followed by a constant velocity phase. One could also model his sprint as a velocity that increases to a constant value at the finish line. Because the velocity initially changes, the acceleration will initially be non-zero; however, the velocity is constant at the end, so the acceleration is zero there. This means the acceleration cannot be constant. The simplest function with a variable acceleration would be a cubic position function. Let's model his sprint with a cubic position function: x(t) = at + bt + ct +d %3D Let's assume he starts from rest at the origin of the x-axis at time t = 0. Usain Bolt's sprint was for the 100 m dash, which he completed with at time of 9.58 s. Think about how a sprinter would run a race and determine what is known about his initial and final position, velocity, and acceleration. Do not calculate any of these quantities; these are either known or unknown from the statement of the problem. If any of these value are not known (not given), then enter "?", otherwise, enter its value. Remember that we are assuming his velocity increases to a constant value at the end of the race. t(s) x(m) Vx(m/s) ay(m/s?) 9.58 Check

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter15: Oscillations
Section: Chapter Questions
Problem 14CQ: With the use of a phase shift, the position of an object may be modeled as a cosine or sine...
See similar textbooks
icon
Related questions
Question
In class, we had modeled Usain Bolt's record-breaking sprint as a constant acceleration phase followed by a constant velocity phase. One could also model his sprint as a velocity that increases to a constant value at the finish line. Because the velocity initially changes, the acceleration will initially be non-zero; however, the velocity is constant at the end, so the acceleration is zero there. This means the acceleration cannot be constant. The simplest function with a variable acceleration would be a cubic position function. Let's model his sprint with a cubic position function: x(t) = at + bf + ct +d Let's assume he starts from rest at the origin of the x-axis at time t= 0. Usain Bolt's sprint was for the 100 m dash, which he completed with at time of 9.58 s. Think about how a sprinter would run a race and determine what is known about his initial and final position, velocity, and acceleration. Do not calculate any of these quantities; these are either known or unknown from the statement of the problem. If any of these value are not known (not given), then enter "?", otherwise, enter its value. Remember that we are assuming his velocity increases to a constant value at the end of the race. t(s) x(m) Vx(m/s) ax(m/s²) 9.58 Check & delet 7 8 { +||
Transcribed Image Text:In class, we had modeled Usain Bolt's record-breaking sprint as a constant acceleration phase followed by a constant velocity phase. One could also model his sprint as a velocity that increases to a constant value at the finish line. Because the velocity initially changes, the acceleration will initially be non-zero; however, the velocity is constant at the end, so the acceleration is zero there. This means the acceleration cannot be constant. The simplest function with a variable acceleration would be a cubic position function. Let's model his sprint with a cubic position function: x(t) = at + bf + ct +d Let's assume he starts from rest at the origin of the x-axis at time t= 0. Usain Bolt's sprint was for the 100 m dash, which he completed with at time of 9.58 s. Think about how a sprinter would run a race and determine what is known about his initial and final position, velocity, and acceleration. Do not calculate any of these quantities; these are either known or unknown from the statement of the problem. If any of these value are not known (not given), then enter "?", otherwise, enter its value. Remember that we are assuming his velocity increases to a constant value at the end of the race. t(s) x(m) Vx(m/s) ax(m/s²) 9.58 Check & delet 7 8 { +||
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Lagrange equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
SEE MORE TEXTBOOKS