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!
Answer:
Thus, the change in the weight of the person is 1.6N , option c is correct.
Explanation:
Answer:
2500 kg/m³
Explanation:
The density is ...
(107 g)/((12.2 cm)(3.7 cm)(0.95 cm)) = 107/42.883 g/cm³ ≈ 2.5 g/cm³
In kg/m³, the density is ...
(2.5 g/cm³)×(1 kg/(1000 g))×(100 cm/m)³ = 2500 kg/m³
The conversion from CGS to MKS units of density is done using the usual method of units conversion. The conversion factor multipliers each change the units without changing the value, because their numerator is equal to the denominator.
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2 significant figures are used because the block dimensions have a precision of 2 significant figures.