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slavikrds [6]
3 years ago
9

A.The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the

deck to the street below.
Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

8.68 seconds

Step-by-step explanation:

Given:

Height of the deck above the street, s = 370 m

Since the condition is of free falling

thus,

initial speed, u = 0

Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²

Now,

from Newton's equation of motion, we have

s=ut+\frac{1}{2}at^2

here,

s is the distance

a is the acceleration

t is the time

on substituting the values, we get

370=0\times t+\frac{1}{2}\times9.81\times t^2

or

t² = 75.433

or

t = 8.68 seconds

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Answer:

  D.

Step-by-step explanation:

The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)

When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.

The only reasonable choice is D.

__

Your calculator can check this for you.

  √12/(√3 +3) ≈ 3.4641/(1.7321 +3)

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If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.

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_____

<em>Additional comment</em>

We "rationalize the denominator" in this way to take advantage of the relation ...

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Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.

We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).

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