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For the velocity - time graph of a particle determined the acceleration of particle at t = 1 sec?
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For the velocity - time graph of a particle determined the acceleratio...
Acceleration of Particle at t = 1 sec
Acceleration is the rate of change of velocity with respect to time. To determine the acceleration of a particle at t = 1 sec from a velocity-time graph, we need to look at the slope of the graph at that particular time.
- Step 1: Identify the velocity at t = 1 sec
Look at the velocity-time graph and find the velocity of the particle at t = 1 sec. This can be done by locating the point on the graph that corresponds to t = 1 sec and reading the velocity value.
- Step 2: Determine the slope at t = 1 sec
The slope of the velocity-time graph at t = 1 sec represents the acceleration of the particle at that instant. Calculate the slope by drawing a tangent to the curve at t = 1 sec and finding the ratio of the change in velocity to the change in time.
- Step 3: Calculate the acceleration
Once you have determined the slope at t = 1 sec, you can calculate the acceleration of the particle. The acceleration is equal to the slope of the graph at that point.
- Step 4: Interpret the result
The acceleration can be positive, negative, or zero, depending on the direction of the velocity and how it is changing at t = 1 sec. Positive acceleration indicates speeding up, negative acceleration indicates slowing down, and zero acceleration indicates constant velocity.
By following these steps and analyzing the velocity-time graph, you can determine the acceleration of a particle at t = 1 sec accurately.
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Passage 2Newtons surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state ofthe universe.Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplaces omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particles future wave function. These calculations can give the particles position or velocity, but not both. Thus, the physicist is in possession of exactly half ofthe information needed to satisfy Laplaces view ofdeterminism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future.Q. According to the passage, wave functions

Passage 2Newtons surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state ofthe universe.Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplaces omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particles future wave function. These calculations can give the particles position or velocity, but not both. Thus, the physicist is in possession of exactly half ofthe information needed to satisfy Laplaces view ofdeterminism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future.Q. The passage suggests that if scientific determinism were true

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For the velocity - time graph of a particle determined the acceleration of particle at t = 1 sec?
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