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The KEOM tower across the street from West is approx. 155 meters high
(about 510 feet). On a dare, your friend climbs to the top and drops a
physics book to see what will happen. You bet them you can figure out
how long it will take to fall to the ground. What time do you confidently tell
your insane friend? (Remember, down is always a negative direction.
Round answer to tenths place or 2 sig figs. Enter a decimal if needed.
Enter the number only, no units)

Respuesta :

You told your insane friend that it will take the book 5.6 s to get to the ground.

From the question given above, the following data were obtained:

Height (H) = 155 m

Time (t) =?

NOTE: Acceleration due to gravity (g) = 10 m/s²

The time taken for the book to get to ground can be obtained as follow:

H = ½gt²

155 = ½ × 10 × t²

155 = 5 × t²

Divide both side by 5

[tex]t^{2} = \frac{155}{5}\\\\[/tex]

t² = 31

Take the square root of both side

[tex]t = \sqrt{31}[/tex]

t = 5.6 s

Thus, the time taken for the book to get to the ground is 5.6 s

Hence, you told your insane friend that it will take the book 5.6 s to get to the ground.

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