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2 answers:
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Answer:
Explanation:
The equation of the position in kinematics is given:
- x(0) is the initial position, in this it is 0
- v(0) is the initial velocity (20 m/s)
- a is the acceleration (2 m/s²)
So the equation will be:
Now, the Taylor polynomial equation is:
Using our position equation we can find f'(t)=v(t) and f''(x)=a(t). In our case a=0, so let's find each derivative.
Using the Taylor polynomial with a = 0 and take just the second order of the derivative.
Let's put t=1 so find the how far the car moves in the next second:
Therefore, the position in the next second is 21 m.
We need to know if the acceleration remains at this value to use this polynomial in the next minute, so I suggest that it would be reasonable to use this method just under this condition.
I hope it helps you!