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Paraphin [41]
3 years ago
9

A particle moves along the x-axis with velocity v(t) = t2 - 4, with t measured in seconds and v(t) measured in feet per second.

Find the total distance travelled by the particle from t = 0 to t = 3 seconds. (4 points)

Physics
1 answer:
Nadya [2.5K]3 years ago
8 0

Answer:

Total distance D=7.66 ft

Explanation:  

Given that:   V=t^{2}-4

Here velocity of particle will be zero at t=2 sec,so we take interval to find total distance.

We know that V=\dfrac{ds}{dt}

       ds=V dt

So  s=\int_{t_{1}}^{t_{2}}Vdt

It means that ,the area of velocity-time(V-t) graph will give the displacement.

Given that t_{1}=0 ,t_{2}=3

So now by putting the value in above integration

    s=\int_{0}^{2}(t^{2}-4)dt+\int_{2}^{3}(t^{2}-4)

s=\left [\frac{1}{3}t^3-4t\right ]_o^2+\left [\frac{1}{3}t^3-4t\right]_2^3

s= -5.33+2.33 ft

 s= -3 ft  (we know that displacement is a vector quantity so it have sing)

So this is the displacement of particle at time 0 sec to 3 sec.

To find the total distance we will add all take mode on -5.33 ft and and will add with 2.33 ft instead of subtract.

So the total distance travelled by particle D=7.66 ft.

D=7.66 ft

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Object A is positively charged. Object A and Object B
ozzi

Answer: object B is negatively charged, object C is positively charged and object D is also positively charged

Explanation: since unlike charges attract and like charges repel, for object A which is positively charged and B to attract B must be negatively charged and then for B which is negatively charged and C to attract C must be positively charged and for C and D to repel they have to be of thesame charge which means D is positive as well.

4 0
2 years ago
If V is the original volume, V' is the new volume, T is the original Kelvin temperature, and T' is the new Kelvin temperature, h
madam [21]

Answer:

\frac{V}{T} = \frac{V'}{T'}

Explanation:

Given the following data;

Original volume = V

New volume = V'

Original temperature = T

New temperature = T'

To write an expression for Charles's law;

Charles states that when the pressure of an ideal gas is kept constant, the volume of the gas is directly proportional to the absolute temperature of the gas.

Mathematically, Charles law is given by the formula;

\frac {V}{T} = K

\frac{V}{T} = \frac{V'}{T'}

4 0
3 years ago
Which of the following groups contain three elements with stable electron configurations?
Wewaii [24]

Answer:

B. helium, xenon, neon

Explanation:

6 0
3 years ago
Read 2 more answers
Explain each of the following phenomena and how they extend our understanding of genetics from the work done by Gregor Mendel an
Korolek [52]

Answer:

Incomplete Dominance: In this case, the 3rd different phenotype is created by the heterozygous(CwCr) (for example, pink)

Co-Dominance: the heterozygous is observed to show both the homozygous conditions (for example the blood type iAiB shows both A and B carbohydrates)

Multiple alleles: This is when a gene has over 2 alleles (i.e. blood has ia ib i)

Polygenic inheritance: This is when over two different gene leads to the expression of a trait.

Pleiotropy: This is the when a gene shows several effects on an organism.

Epistasis: This is when more than one gene have strong control on the  expression of a trait (for example, E/e allele creates pigments)

Sex-linkage: This refers to the genes found in sex chromosomes

Gene Linkage: These are the genes situated in a similar chromosome.

Explanation:

Incomplete Dominance: In this case, the 3rd different phenotype is created by the heterozygous(CwCr) (for example, pink)

Co-Dominance: the heterozygous is observed to show both the homozygous conditions (for example the blood type iAiB shows both A and B carbohydrates)

Multiple alleles: This is when a gene has over 2 alleles (i.e. blood has ia ib i)

Polygenic inheritance: This is when over two different gene leads to the expression of a trait.

Pleiotropy: This is the when a gene shows several effects on an organism.

Epistasis: This is when more than one gene have strong control on the  expression of a trait (for example, E/e allele creates pigments)

Sex-linkage: This refers to the genes found in sex chromosomes

Gene Linkage: These are the genes situated in a similar chromosome.

7 0
2 years ago
Agri-Chem's contract with Enerco specified a maximum of 90,000 cu.ft. X 103 per day for its complexes. However, curtailments are
zvonat [6]

Answer:

Caustic soda would be least affected by a gas curtailment

Explanation:

Let,

X1= ammonia

X2= ammonium phosphate

X3= ammonium nitrate

X4 = Urea

X5= hydro-fluoric acid

X6= Chlorine

X7= Caustic soda

X8= Vinyl chloride monomer.

Agri chem’s current natural gas usage

= (1200 × 8 + 540 × 10 + 490 × 12 + …)                  

= 85,680,000 cu. ft. per day  

When, the curtailment is 20%, availability is

= 0.8 X  85,680

= 68,554,000 cu. ft. per day

Therefore, the gas constant

= 8X1 + 10X2 + 12X3 + 12X4 + 7X5 + 18X6 + 20X7 + 14X8 ≤68,544

When, the curtailment is 40% availability is

= 0.6 X 85,680

= 51,408,000 cu. ft. per day

Constant = 8X1 + 10X2 + 12X3 + 12X4 + 7X5 + 18X6 + 20X7 + 14X8≤ 51,408

                     

7 0
3 years ago
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