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inna [77]
2 years ago
6

Evaluate the numerical value of the vertical velocity of the car at time t=0. 25s using the expression from part d, where y0=0.

75m, α=0. 95s−1, and ω=6. 3s−1.
SAT
1 answer:
Alex73 [517]2 years ago
7 0

The vertical velocity of the car at the given position and time is 4.905 m/s.

The given parameters:

  • Initial angular velocity, \omega_0 = 6.3 rad/s
  • Time of motion, t = 0.25 s
  • Vertical displacement, y = 0.75 m
  • Angular acceleration, \alpha  = 0.95 \ rad/s^2

<h3>What is vertical velocity?</h3>
  • This is the linear velocity of an object in a vertical direction.

The angular velocity of an object in a circular motion is given as;

\omega_f = \omega _0 + \alpha t\\\\\omega _f = 6.3 \ +\  0.95 \times 0.25 \\\\\omega _f = 6.54 \ rad/s

The vertical velocity of the car at the given position and time is calculated as follows;

v = \omega r\\\\v = \omega_f y\\\\v = (6.54 \ rad/s)\times (0.75\ m)\\\\v = 4.905 \ m/s

Thus, the vertical velocity of the car at the given position and time is 4.905 m/s.

Learn more about vertical velocity here: brainly.com/question/7358392

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2 years ago
F(x) = x2 + 1 g(x) = 5 – x<br><br> (f + g)(x) =
klio [65]

<em>A function f (x) and g (x) then:</em>

<em>(f + g) (x) = x² - x + 6</em>

<em>Further explanation</em>

Like the number operations we do in real numbers, operations such as addition, installation, division or multiplication can also be done on two functions.

Suppose a function f (x) and g (x) then:

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(f + g) (x) is a new function of the sum of f (x) and g (x)

Likewise with other function operations:

(f-g) (x) = f (x) - g (x)

(fg) (x) = f (x) x g (x)

(f / g) (x) = f (x) / g (x)

In addition to the above operations we can combine two functions using the function composition with the symbol o

(fog) (x) = f ((g (x))

Known on the question

f (x) = x² + 1

g (x) = 5 x

Summing the two functions f (x) and g (x):

(f + g) (x) = f (x) + g (x)

(f + g) (x) = x² + 1 + 5 - x

(f + g) (x) = x² - x + 6

<h3><em>Learn more</em></h3>

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Answer:

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Explanation:

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Which is a property to every mixture
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