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3 years ago

9

What is

1 answer:

Genrish500 [490]3 years ago

5 0

Answer:i think its 0.238095

Step-by-step explanation:

i could be wrong

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Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position

stira [4]

Answer:

$v(t) = (2t+1) \mathbb{i} +3t^2 \mathbb{j} +4t^3 \mathbb{k}$

$r(t) = (t^2+t) \mathbb{i} +(t^3+2) \mathbb{j} +(t^4 - 3) \mathbb{k}$

Step-by-step explanation:

The velocity vector is the integral of the acceleration vector i.e.

$v(t) = \int a(t) dt$

$v(t) = \int (2 \mathbb{i}+6t \mathbb{j} 12t^2 \mathbb{k}) dt$

$v(t) = 2t \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k} + C_1$

When $t=0$ , $v(0) = \mathbb{i}$ . Inserting these values in $v(t)$ ,

$C_1= \mathbb{i}$

$v(t) = 2t \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k} + \mathbb{i}$

$v(t) = (2t+1) \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k}$

The position vector is the integral of the velocity vector i.e.

$r(t) = \int v(t) dt$

$r(t) = \int ((2t+1) \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k}) dt$

$r(t) = (t^2+t) \mathbb{i}+t^3 \mathbb{j} t^4 \mathbb{k} + C_2$

When $t=0$ , $r(t) =2\mathbb{j}-3\mathbb{k}$ . Inserting these values in $r(t)$ ,

$C_2=2\mathbb{j}-3\mathbb{k}$

$r(t)= (t^2+t) \mathbb{i}+t^3 \mathbb{j}+ t^4 \mathbb{k} + 2\mathbb{j}-3\mathbb{k}$

$r(t) = (t^2+t) \mathbb{i}+(t^3+2) \mathbb{j}+ (t^4-3) \mathbb{k}$

5 0

4 years ago

Round off 1.0246 to 1 decimal to decimal 2 decimal

Anettt [7]

Answer:

1.0

Step-by-step explanation:

4 0

3 years ago

Convert 56% to a fraction.(put in lowest terms)

Naily [24]

Answer:

19/25

Step-by-step explanation:

56% is also equal to 0.56, or 56/100

$\frac{56}{100} = \frac{28}{50} =\frac{19}{25}$

5 0

4 years ago

Read 2 more answers

If a man spend 1/5 on food a<br>nd 1/3 on car and his left with #286.how much is his income

mr_godi [17]

Answer:

Step-by-step explanation:

Let income=X

Given he spend 1/5of his income on food.=X/5

He spend 1/3 of his income on car=X/3

Left with=286

So

x-(X/5+X/3)=286

x-8x/15=286

7x/15=286

X=286×15/7

X=612.85

His income is 612.85.

7 0

3 years ago

Tyler used 114 gallons of paint to paint 47 of a fence. How many gallons will it take to paint the whole fence?

lara31 [8.8K]

Answer: It will take 199.5 gallons to paint the whole fence.

Step-by-step explanation:

Given: Paint required to paint $\dfrac47$ of fence = 114 gallons

Then , paint required to paint whole fence = $114\div\dfrac47$

i.e. paint required to paint whole fence = $114\times\dfrac{7}{4}$

i.e. Paint required to paint whole fence= 199.5 gallons

Hence, it will take 199.5 gallons to paint the whole fence.

3 0

3 years ago