Basketball shot A basketball is shot at an angle of 45° to the horizontal. The center of the basketball is at the point A(0, 8) at the moment it is released, and it passes through the center of the basketball hoop that is located at the point B(18, 10). Assume the basketball does not hit the front of the hoop (otherwise it might not pass through the basket). The validity of this assumption is investigated in parts (d), (e), and (f). 14 - 12 10+ 2 4 6 8 10 12 14 16 18 * a. Determine the initial speed of the basketball. b. Find the initial velocity v(0) at the moment it is released. c. Find the position function r(1) of the center of the basketball 1 seconds after the ball is released. Assume r(0) = (0, 8). d. Find the distance s(1) between the center of the basketball and the front of the basketball hoop 1 seconds after the ball is released. Assume the diameter of the basketball hoop is 18 inches. e. Determine the closest distance (in inches) between the center of the basketball and the front of the basketball hoop.

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.