Approximating Distance with a Second-Degree Taylor Polynomial

[freshman2013]

Homework Statement

A car is moving with speed 10m/s and acceleration 1 m/s^2 at the given instant. Using a second-degree Taylor polynomial, estimate how far the car moves in the next second.

Homework Equations

The Attempt at a Solution

I don't get how you're supposed to apply taylor polynomials to this problem. I actually got the right answer, but that was from plugging in acceleration, velocity, and t=1 second into the physics equation d=(1/2)at^2+v(original)*t.

 

[Office_Shredder]

If I have a function f(t), and I tell you what f(0), f'(0) and f''(0) are, can you approximate f(t) with a second degree Taylor polynomial?