The vertical velocity of the car at the given position and time is 4.905 m/s.
The given parameters:
- Initial angular velocity,
= 6.3 rad/s - Time of motion, t = 0.25 s
- Vertical displacement, y = 0.75 m
- Angular acceleration,

<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;

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

Thus, the vertical velocity of the car at the given position and time is 4.905 m/s.
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The pair two numbers whose difference is 14 and the product is as small as possible (i.e. -49) are (-7,7)
<h3>What are word problems?</h3>
In mathematical concepts, word problems involve a crucial understanding of the problem and knowing which mathematical method and arithmetic operations are best suited to solving the problem.
If we assume that the smaller number should be = a and the larger number = a + 14.
Thus, their product (X) can be expressed as:
= a(a+14)
= a² + 14a
The smallest possible value implies the minimum value, i.e.

Thus,
2a + 14 = 0
a = - 14/2
a = -7
Therefore, we can conclude that the pair of two numbers whose difference is 14 and the product is as small as possible (i.e. -49) is (-7,7).
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brainly.com/question/21405634
<h3> <u>
Sustainable development of society</u></h3>
Sustainable development of society involves in organizing principle to attain goals for the people enrichment and providing the "ecological ability of natural systems" to provide natural resources.
Sustainable development of the society tells us about the living conditions of the people that determines the continuation to meet the needs of humans without affecting the solidity and uprightness of the nature and ecosystem. It aims at merging the economic and environmental goals.
The people of Aad were an ancient tribe of Saudi Arabia. Their city was known as Iram. The tribe was popular for its cleverness and physical strength and therefore, they are also called giants. They were so strong and intelligent that they could carve mountains and use it as their homes. , the Thamūd were the successors of a previous nation called the ʿĀd, who had also been destroyed for their sins. They lived in houses carved into the surface of the earth. God chose the prophet Ṣāliḥ to warn the polytheistic Thamūd that they should worship the One God.
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