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Andre45 [30]
3 years ago
10

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

. a(t) = 2 i + 6t j + 12t2 k, v(0) = i, r(0) = 7 j − 4 k
Business
1 answer:
Murljashka [212]3 years ago
8 0

Answer:

v(t) = (2t + 1)i + 3t²j + 4t³k

r(t) = (t² + t)i + (t³ + 7)j + (t⁴ - 4)k

Explanation:

a(t) = 2i + 6tj + 12t²k

v(t) = ∫a(t)dt

     = ∫(2i + 6tj + 12t²k)dt

     = 2ti + (6t²/2)j + (12t³/3)k + c

     = 2ti + 3t²j + 4t³k + c

v(0) = i

    i = 0i + 0j + 0k + c

    c = i

∴ v(t) = 2ti + 3t²j + 4t³k + i

v(t) = (2t + 1)i + 3t²j + 4t³k

r(t) = ∫ v(t)dt

    = i ∫ (2t + 1)dt + 3j ∫ t²dt + 4k ∫ t³dt

    = i (2t²/2 + t) + 3j(t³/3) + 4k(t⁴/4) + d

    = i (t² + t) + jt³ + t⁴k + d

r(0) = 7j - 4k

0i + 0j + 0k + d = 7j - 4k

d = 7j - 4k

∴ r(t) = (t² + t)i + t³j + t⁴k + 7j - 4k

r(t) = (t² + t)i + (t³ + 7)j + (t⁴ - 4)k

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allochka39001 [22]

Answer:

Societal marketing

Explanation:

Societal marketing: The societal marketing is that marketing concept which focuses on serving the society at their best level by satisfying their needs, wants, and interest and keep the profit motive aside.  

It aims to produce such goods and serving those services which helps to improves the business organization image, goodwill, reputation to a larger extent. By satisfying the society at large, the organization can strengthen its long term success.  

This market concept is closely related to the Corporate Social Responsibility (CSR)

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3 years ago
In the Vasquez Corporation, any overapplied or underapplied manufacturing overhead is closed out to Cost of Goods Sold. Last yea
Crank

Answer:

$69,000

Explanation:

Calculation for overapplied or underapplied manufacturing overhead

Using this method

Manufacturing overhead=Cost of Goods Manufactured-( Actualmanufacturing overhead cost-Applied manufacturing overhead cost to job)

Let plug in the formula

Manufacturing overhead=71,000-(27,000-29,0000)

Manufacturing overhead=71,000-2,000

Manufacturing overhead=$69,000 overapplied

Therefore Manufacturing overhead for the year will be $69,000 overapplied

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