3 years ago

A particle is moving with the given data. find the position of the particle. at(t) = t2 − 4t + 3, s(0) = 0, s(1) = 20

1 answer:

4 0

Integrating t^2 - 4t + 3

s = t^3/3 - 2t^2 + 3t + C where C is some constant

when t = 0 , s = 0 so C = 0

answer is s = 1/3 t^3 - 2t^2 + 3t

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The quotient of two fraction is the multiplication between the first and the inverse of the second:

$\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}$

So, in your case, you have

$\dfrac{3}{5} \div \dfrac{6}{7} = \dfrac{3}{5} \cdot \dfrac{7}{6} = \dfrac{7}{10}$

So, the question now is: which is larger, 7/10 or 3/5? To answer this question, transform the second fraction so that it will have denominator 10 as well:

$\dfrac{3}{5} = \dfrac{3\cdot 2}{5 \cdot 2} = \dfrac{6}{10}$

So, now it is clear that

$\dfrac{7}{10} > \dfrac{6}{10}$

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Step-by-step explanation:

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