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A ball is thrown upwards and returns to the same location. when it turns, how much is the speed compared with the initial speed?

Question: A ball is thrown upwards and returns to the same location. when it turns, how much is the speed compared with the initial speed? When a ball is thrown upwards and returns to the same location, its speed when it returns will be equal to its initial speed, but in the opposite direction. Assuming there is no significant air resistance, the ball's speed gradually decreases as it moves upward due to the force of gravity acting against it. At the highest point of its trajectory, its speed becomes zero momentarily. Then, as the ball falls back down, it gains speed due to the acceleration from gravity. When the ball reaches its starting point, its speed will be the same as the initial speed, but in the opposite direction. This is because the force of gravity acts to accelerate the ball downward, reversing its initial upward velocity. Therefore, the speed of the ball when it returns to the same location is equal in magnitude but opposite in direction to its initial speed.

It is a term that abstractly describes and names an object, a phenomenon, or an idea.

Question: It is a term that abstractly describes and names an object, a phenomenon, or an idea. The term you are referring to is "concept." A concept is an abstract notion that represents a general understanding or idea about something. It provides a way to categorize, classify, and communicate information about objects, phenomena, or ideas. Concepts are often expressed through words or symbols and serve as building blocks for our understanding of the world. They allow us to organize and make sense of our experiences and knowledge.

These are any quality of a person, group subject, event, condition or situation that varies or takes on different values.

Question: These are any quality of a person, group subject, event, condition or situation that varies or takes on different values. The term you are referring to is "variable." A variable is a characteristic or quality of a person, group, subject, event, condition, or situation that can vary or take on different values. In research or statistical analysis, variables are used to measure, represent, or categorize different aspects of a study. They can be classified as independent variables, which are manipulated or controlled by the researcher, or dependent variables, which are the outcomes or responses that are measured or observed based on the changes in the independent variables. Variables are essential in understanding and analyzing the relationships, patterns, and effects within various fields such as psychology, sociology, economics, and natural sciences.

Aside from aristotle who among the philosophers below believed that earth is spherical?

Question: Aside from aristotle who among the philosophers below believed that earth is spherical? Among the philosophers below, one who believed that the Earth is spherical is Pythagoras. Pythagoras was a Greek philosopher and mathematician who lived around the 6th century BCE. He is known for his contributions to mathematics and his philosophical teachings, including the concept of the spherical shape of the Earth. Pythagoras believed that the Earth was a sphere because of the observations of celestial bodies and the symmetry of the universe. He also proposed that the Earth was at the center of the cosmos, which was a common belief at the time. Other philosophers like Plato and Parmenides also had some indications that the Earth might be spherical, but their beliefs were not as explicit or well-developed as those of Pythagoras.

An airplane is flying at an altitude of 8.5 km. it’s angle of elevation from the observer on the ground is 35°. what trigonometric ratio will be able to determine the horizontal distance between the observer and the airplane?

Question: An airplane is flying at an altitude of 8.5 km. it’s angle of elevation from the observer on the ground is 35°. what trigonometric ratio will be able to determine the horizontal distance between the observer and the airplane? To determine the horizontal distance between the observer on the ground and the airplane, we can use the trigonometric ratio of tangent (tan). In this scenario, the opposite side is the altitude of the airplane (8.5 km), and the adjacent side is the horizontal distance we want to find. The angle of elevation is given as 35°. Using the tangent function: tan(angle) = opposite/adjacent tan(35°) = 8.5 km/adjacent To find the adjacent side (horizontal distance), we rearrange the equation: adjacent = opposite/tan(angle) adjacent = 8.5 km/tan(35°) Now, we can calculate the value using a calculator: adjacent ≈ 8.5 km / 0.7002 adjacent ≈ 12.139 km Therefore, the horizontal distance between the observer and the airplane is approximately 12.139 kilometers.

Bert plans to pour concrete in a uniform width around his rectangular pool to form a walkway. if his pool measures 20 m by 14 m and he has enough concrete to cover 240 m2, how wide can the walkway be?

Question: Bert plans to pour concrete in a uniform width around his rectangular pool to form a walkway. if his pool measures 20 m by 14 m and he has enough concrete to cover 240 m2, how wide can the walkway be? Let's denote the width of the walkway as 'w'. If Bert wants to pour concrete in a uniform width around his rectangular pool, the dimensions of the pool including the walkway will be increased by twice the width on each side. The length of the enlarged pool will be 20 m + 2w, and the width will be 14 m + 2w. The area of the enlarged pool, including the walkway, can be calculated by multiplying the length and width: (20 + 2w) * (14 + 2w) To find the area of the walkway, we need to subtract the area of the original pool from the area of the enlarged pool: (20 + 2w) * (14 + 2w) - (20 * 14) We know that the area of the walkway is 240 m², so we can set up the equation: (20 + 2w) * (14 + 2w) - (20 * 14) = 240 Expanding the equation: (20 + 2w) * (14 + 2w) - 280 = 240 Now,