17.

Question

The formula can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 30 feet. Round your answer to the nearest hundredth.

43.82 feet per second

240 feet per second

960 feet per second

350.54 feet per second

Answer 1

To find the velocity \( v \) of an object that has fallen \( h \) feet, we generally use the formula derived from the equations of motion under the influence of gravity:

\[ v = \sqrt{2gh} \]

where \( g \) is the acceleration due to gravity, approximately \( 32.17 \, \text{feet per second squared} \) on Earth.

Given:
- \( h = 30 \, \text{feet} \)
- \( g = 32.17 \, \text{feet per second squared} \)

Plugging these values into the formula:

\[ v = \sqrt{2 \cdot 32.17 \cdot 30} \]

First calculate inside the square root:

\[ 2 \cdot 32.17 = 64.34 \]

Then,

\[ 64.34 \cdot 30 = 1930.2 \]

Now take the square root:

\[ v = \sqrt{1930.2} \approx 43.93 \, \text{feet per second} \]

Rounded to the nearest hundredth, the velocity \( v \) is approximately \( 43.93 \, \text{feet per second} \).

Given the choices, the nearest option to this calculated value is:

\[ 43.82 \, \text{feet per second} \]

However, it should be noted that this is a slight approximation. The exact calculated value (rounded) is \( 43.93 \, \text{feet per second} \), but the closest given option matches reasonably well.

Answer 2

30 unique things starting with A.

Answer 3

Sure, here is a list of 30 unique things that start with the letter 'A':

1. Apple
2. Antelope
3. Airplane
4. Aquarium
5. Astronaut
6. Almond
7. Apricot
8. Arrow
9. Atlas
10. Antenna
11. Amber
12. Anaconda
13. Amethyst
14. Accordion
15. Alpaca
16. Abacus
17. Avalanche
18. Avocado
19. Armadillo
20. Artichoke
21. Acrobat
22. Aloe
23. Asparagus
24. Anchovy
25. Azalea
26. Aardvark
27. Anvil
28. Anthill
29. Anise
30. Albatross