Answer:
The woman's average velocity during the trip is 36.2 miles/hour.
Explanation:
Velocity can be define as the displacement of an object per time. It is a vector quantity, and measured in m/s.
i.e velocity = 
From the given question,
Displacement = 
= 
= 
= 425
The displacement of woman is 425 miles.
velocity = 
= 36.1702 miles/hour
The woman's average velocity during the trip is 36.2 miles/hour.
<span>Once the presence of certain substances in a sample is known, the study of their absolute or relative abundance can help in determining specific properties. Gravimetric analysis yields more accurate data about the composition of a sample than volumetric analysis but also takes more time to perform in the laboratory.</span>
A) Calling F the intensity of the horizontal force and d the displacement of the block across the floor, the work done by the horizontal force is equal to

b) The work done by the frictional force against the motion of the block is equal to:


Part of these 105.1 Joules of work becomes increase of thermal energy of the block (

), and part of it becomes increase of thermal energy of the floor (

). We already know the increase in thermal energy of the block (38.2 J), so we can find the increase in thermal energy of the floor:

c) The net work done on the block is the work done by the horizontal force F minus the work done by the frictional force (the frictional force acts against the motion, so we must take it with a negative sign):

For the work-energy theorem, the work done on the block is equal to its increase of kinetic energy:

So, we have
The object's kinetic energy changes according to
d<em>K</em>/d<em>t</em> = 15 J/s
If <em>v</em> is the object's initial speed, then its initial kinetic energy is
<em>K</em> (0) = 1/2 (5 kg) <em>v</em> ²
Use the fundamental theorem of calculus to solve for <em>K</em> as a function of time <em>t</em> :

After <em>t</em> = 13 s, the object's kinetic energy is
<em>K</em> (13 s) = 1/2 (5 kg) (13 m/s)² = 422.5 J
Put this as the left side in the equation above for <em>K(t)</em> and solve for <em>v</em> :

==> <em>v</em> ≈ 9.5 m/s
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