Let's model his sprint with a cubic position function:x(t) = at3 + bt2 + ct + dLet'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.A/Using this model, what would be Usain Bolt's speed when he crossed the finish line? B/Using this model, what was Usain Bolt's maximum acceleration? C/What was Usain Bolt's average velocity for this race? D/ According to this model, at what time was Usain Bolt's velocity equal to his average velocity? According to this model, what as Usian Bolt's position when his velocity was equal to his average velocity? According to this model, what as Usian Bolt's acceleration when his velocity was equal to his average velocity? thanks

Name: Let's model his sprint with a cubic position function:x(t) = at3 + bt2
Uploaded: 2024-03-20T06:57:47.000Z
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Description: Let's model his sprint with a cubic position function:x(t) = at3 + bt2 + ct + dLet'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.A/Using t

x(t) = at3 + bt2 + ct + d We know that the first differentiation of displacement gives velocity…

Answered: Let's model his sprint with a cubic…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Let's model his sprint with a cubic position function:

x(t) = at³ + bt² + 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.

Using this model, what would be Usain Bolt's speed when he crossed the finish line?

Using this model, what was Usain Bolt's maximum acceleration?

What was Usain Bolt's average velocity for this race?

D/ According to this model, at what time was Usain Bolt's velocity equal to his average velocity?

According to this model, what as Usian Bolt's position when his velocity was equal to his average velocity?

According to this model, what as Usian Bolt's acceleration when his velocity was equal to his average velocity?

thanks

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