Answer:
direction : West to East
magnitude : 6.0 * 10^-3
Explanation:
<em>Given data :</em>
Four ( 4 ) monitoring wells
location of wells = corners of 1-ha square
Total piezometric head in each well ;
NE corner = 30.0 m ;
SE corner = 30.0 m;
SW corner = 30.6 m;
NW corner = 30.6 m.
<u>Calculate for the magnitude and direction of the hydraulic gradient </u>
first step ; calculate for area
Area = ( 1 -ha ) ( 10^4 m^2/ha )
= 1 * 10^4 m^2
Distance between the wells = length of side
= √( 1 * 10^4 ) m^2
= 100 m
Direction of Hydraulic gradient is from west to east because the total piezometric head in the west = Total piezometric head in the east
Next determine The magnitude of the hydraulic gradient
= ( 30.6 - 30 ) / 100
= 6.0 * 10^-3
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Answer:
1) The girl's acceleration at time 't' is,
m/s²
2) The girl's acceleration at time 't₁' is,
m/s²
3) The girl's acceleration at time 't₂' is,
m/s²
Explanation:
Given data,
The initial walking speed of the girl, u = 0
The speed of the girl at the time 't' 3 s is, v₁ = 1.4 m/s
The time period the girl walked at the speed 1.4 m/s is, t₁ = 6 s
The girl slows down and comes to a stop during a period, t₂ = 10 s
1) The girl's acceleration at time 't'


m/s²
2) The girl's acceleration at time 't₁'


m/s²
3) The girl's acceleration at time 't₂'


m/s²
Let distance be x.
Time in going, t 1 = x/50
Time in coming, t 2 = x/40
Total time T = x/40 +x/50 = 9x/200
Average speed = total distance/ total time
=( x+x)/(9x/200)= 2x ×200/9x = 400/9 = 44.44 km/h
Since each serves a different purpose, theories cannot become
laws. Explaining how or why a natural phenomenon occurs is what the set of ideas
called theories do. On the other hand, mathematical relationships that
describes what happens are what is done by laws.
Let me show an example that illustrates the points.
Describing what happens in the natural world are done by the mathematical
formulas called the Gas Laws. In this example, it would show that by using the
Gas Laws, I will be able to predict with great accuracy the pressure if I
double the temperature of a sealed gas. This idea is a law since the
relationship is mathematical and it tells us what will happen.
<span>On the other hand, in order to explain why gases behave like
the way they do, we must use the kinetic molecular theory.</span>