13 Nov 2021
Problem 27
Page 626
Section 8.8: Application of Taylor Polynomials
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
13 Nov 2021
Given information
The speed of the car is and the acceleration is .
Step-by-step explanation
Step 1.
Assume the position of the car is ,
then the velocity and acceleration .
The second-degree polynomial is,
From the given data,
Then,
Then, the position of the car in the next second is obtained as,