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Over the years, database experts have devised rules for how databases should handle transactions The benchmark of all professional database systems is the ACID test The ACID test is actually an acronym for a set of database features defining how a professionalquality database should support transactions These features are as follows: Atomicity Consistency Isolation Durability The ACID tests define a set of standards for ensuring that data is protected in all circumstances It is crucial for databases to protect data at all cost Invalid or lost data can render a database useless The following sections describe each of the features of the ACID test

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After 1 s, the ball s velocity is reduced by 980 m/s, so it now is traveling at 102 m/s After 2 s, the velocity is 04 m/s, and the ball still is moving upward What happens during the next second The ball s velocity is reduced by another 980 m/s, and is equal to 94 m/s The ball now is moving downward After 4 s, the velocity is 192 m/s, meaning that the ball is falling even faster Figure 3-15a shows the velocity-time graph for the ball as it goes up and comes back down At around 2 s, the velocity changes smoothly from positive to negative Figure 3-15b shows a closer view of the v-t graph around that point At an instant of time, near 204 s, the ball s velocity is zero Look at the position-time graphs in Figure 3-15c and d, which show how the ball s height changes How are the ball s position and velocity related The ball reaches its maximum height at the instant of time when its velocity is zero At 204 s, the ball reaches its maximum height and its velocity is zero What is the ball s acceleration at that point The slope of the line in the v-t graphs in Figure 3-15a and 3-15b is constant at 980 m/s2 Often, when people are asked about the acceleration of an object at the top of its flight, they do not take the time to fully analyze the situation, and respond that the acceleration at this point is zero However, this is not the case At the top of the flight, the ball s velocity is 0 m/s What would happen if its acceleration were also zero Then the ball s velocity would not be changing and would remain at 0 m/s If this were the case, the ball would not gain any downward velocity and would simply hover in the air at the top of its flight Because this is not the way objects tossed in the air behave on Earth, you know that the acceleration of an object at the top of its flight must not be zero Further, because you know that the object will fall from that height, you know that the acceleration must be downward.

Free-fall rides Amusement parks use the concept of free fall to design rides that give the riders the sensation of free fall These types of rides usually consist of three parts: the ride to the top, momentary suspension, and the plunge downward Motors provide the force needed to move the cars to the top of the ride When the cars are in free fall, the most massive rider and the least massive rider will have the same acceleration Suppose the free-fall ride at an amusement park starts at rest and is in free fall for 15 s What would be its velocity at the end of 15 s Choose a coordinate system with a positive axis upward and the origin at the initial position of the car Because the car starts at rest, vi would be equal to 000 m/s To calculate the final velocity, use the equation for velocity with constant acceleration vf vi atf ( 980 m/s2)(15 s) 15 m/s How far does the car fall Use the equation for displacement when time and constant acceleration are known df di vitf

1 2 at 2 f 1 ( 980 m/s2)(15 s)2 2

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