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andre [41]
2 years ago
11

1- The acceleration of a particle is defined by the relation a = 6 ft/s 2. Knowing

Mathematics
1 answer:
TiliK225 [7]2 years ago
8 0

Answer:

The initial velocity of the particle is

v' = -6 - 6.2 = -18 ft/s

at t = 5s, the velocity is v = -18 + 6.5 = 12 ft/s

the position is

x =  - 32  - 18 \times 5 +  \frac{1}{2}  \times 6 \times 5 {}^{2}  =  - 47 \: ft

the total distance traveled is

s =  | \frac{12 {}^{2}  - 18 {}^{2} }{2 \times 6} |  = 15 \: ft

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SSS

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3 years ago
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

a_{n} = a_0 + (n-1)d

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_1+a_n)}{2}

ai = ai-1 + 6

This means that d = 6

In this question:

Sum of the first 800 terms, so n = 800

First term is -53, so a_1 = -53

The 880th term is:

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Sum

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The sum of the first 880 terms in the sequence is 2,273,920.

4 0
2 years ago
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