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iVinArrow [24]
2 years ago
10

Solve for x I need help again :/

Mathematics
1 answer:
Nostrana [21]2 years ago
7 0

The Angles depicted 38° and (6x + 2)° are equal because they form vertical opposite Angle pair.

so,

  • 6x + 2 = 38

  • 6x = 38 - 2

  • 6x = 36

  • x = 36 ÷ 6

  • x = 6
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Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
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Answer:

The position P is:

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Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

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So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

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X_ 0 = 0 for this case

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s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

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