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Dmitrij [34]
3 years ago
15

he velocity function is v(t)=t2−5t+6 for a particle moving along a line. Find the displacement and the distance traveled by the

particle during the time interval [−1,6].

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:26.83

Step-by-step explanation:

We will be solving this question using integration. The question has been solved in the diagram

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Step-by-step explanation:

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Answer:

C. 15

Step-by-step explanation:

1. First, let's solve the system of equations; -m - n = 5, m - n = -3

Solve -m - n = 5 for m.

  • -m -n = 5
  • -m-n+n=5+n
  • -m = n + 5
  • \frac{-m}{-1} = \frac{n+5}{-1}
  • m = -n - 5

Substitute -n - 5 for m in m - n = -3.

  • m - n = -3
  • -n - 5 - n = -3
  • -2n-5=-3
  • -2n-5+5=-3+5
  • -2n = 2
  • \frac{-2n}{-2} = \frac{2}{-2}
  • n = -1  

Substitute -1 for n in m = -n - 5.

  • m = -n - 5
  • m = -(-1) - 5
  • m = 1 - 5
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2. Okay, now that we know m = -4 and n = -1, let's solve for m^2 -n^2.

  • m^2-n^2
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  • 16 - (-1)^2
  • 16 - 1
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Therefore, the answer is C. 15!

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2 years ago
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