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Roderick Boone
Roderick Boone

8 Ball Ruler V1.2 24



with \(h_0 = 100\) m and \(k = 4.9\text.\) We will answer the question "How fast is the ball travelling at time \(t = 2\text?\)" by exploring average speed near time \(t = 2\) and discussing the difference between speed and velocity.




8 ball ruler v1.2 24


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Reasoning: In the presence of air resistance, the ball is going to reach its highest point which is shorter than the case when there is no air resistance. As the ball falls, its acceleration is going to be less than 9.8 m/s2. Thus at the end its final velocity will be less than the no air restsnce case.


A sphere is the three-dimensional counterpart of a two-dimensional circle. It is a perfectly round geometrical object that, mathematically, is the set of points that are equidistant from a given point at its center, where the distance between the center and any point on the sphere is the radius r. Likely the most commonly known spherical object is a perfectly round ball. Within mathematics, there is a distinction between a ball and a sphere, where a ball comprises the space bounded by a sphere. Regardless of this distinction, a ball and a sphere share the same radius, center, and diameter, and the calculation of their volumes is the same. As with a circle, the longest line segment that connects two points of a sphere through its center is called the diameter, d. The equation for calculating the volume of a sphere is provided below:


EX: Claire wants to fill a perfectly spherical water balloon with radius 0.15 ft with vinegar to use in the water balloon fight against her arch-nemesis Hilda this coming weekend. The volume of vinegar necessary can be calculated using the equation provided below:


EX: Jack really wants to beat his friend James in a game of golf to impress Jill, and rather than practicing, he decides to sabotage James' golf ball. He cuts off a perfect spherical cap from the top of James' golf ball, and needs to calculate the volume of the material necessary to replace the spherical cap and skew the weight of James' golf ball. Given James' golf ball has a radius of 1.68 inches, and the height of the spherical cap that Jack cut off is 0.3 inches, the volume can be calculated as follows: 350c69d7ab


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