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Why do we need to assume constant acceleration?

Posted on September 22, 2022 by Author

Table of Contents

  • 1 Why do we need to assume constant acceleration?
  • 2 What happens if the acceleration is not constant?
  • 3 How does constant acceleration affect velocity in linear motion?
  • 4 Is acceleration constant when force is constant?
  • 5 Why is acceleration assumed constant in linear equations of motion?
  • 6 What is the maximum possible velocity if acceleration is constant?

Why do we need to assume constant acceleration?

We now make the important assumption that acceleration is constant. This assumption allows us to avoid using calculus to find instantaneous acceleration. Since acceleration is constant, the average and instantaneous accelerations are equal—that is, a – = a = constant .

What happens if the acceleration is not constant?

Whenever there is a change in velocity, either due to a change in speed or a change in direction, there will be non-zero acceleration. Acceleration is not constant if the net force is not constant.

What is the difference between constant acceleration and zero acceleration?

Zero acceleration simply means there is no change in velocity with time and no change in velocity means neither its magnitude is changing nor the direction. Whereas constant acceleration say for example g=9.8m/s^2 shows the change in velocity with time (either its speed or direction).

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What does it mean by constant acceleration?

The rate of change of the velocity of a particle with respect to time is called its acceleration. If the velocity of the particle changes at a constant rate, then this rate is called the constant acceleration.

How does constant acceleration affect velocity in linear motion?

Since there is a constant acceleration, the velocity will increase as a linear function with respect to time and will appear like this. Of course, if one were to calculate the slope of the v vs t graph, one would find the acceleration. As we can see, the velocity is constantly increasing.

Is acceleration constant when force is constant?

Newton’s second law says that when a constant force acts on a massive body, it causes it to accelerate, i.e., to change its velocity, at a constant rate. In this case, the constant acceleration due to gravity is written as g, and Newton’s Second Law becomes F = mg.

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What is meant by constant acceleration?

What does it mean if the acceleration is constant?

Constant acceleration refers to motion where the speed increases by the same amount each second. The most notable and important example is free fall. When an object is thrown or dropped, it experiences a constant acceleration due to gravity, which has a constant value of approximately 10 meters per second squared.

Why is acceleration assumed constant in linear equations of motion?

During the derivation of the equation of motion, constant acceleration is assumed. The result obtained is a linear equation of motion. Motion is along a straight line. Velocity varies linearly with time, which is the independent variable. Originally Answered: Why is acceleration assumed constant in linear equations of motion?

What is the maximum possible velocity if acceleration is constant?

Here’s the thing: If the acceleration remains constant, you can’t have a maximum velocity. The velocity will just get bigger and bigger in the direction of the acceleration. So there must be some rule about how the acceleration stops or tapers off to give that maximum velocity.

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What is the difference between acceleration and velocity?

Acceleration is the rate of change of velocity (with respect to time, if you’re being precise). Velocity and speed are not the same. It is possible for an object to be accelerating, and hence changing velocity, whilst maintaining a constant speed.

What is the change in velocity in a given time frame?

The change in velocity in a given time frame is equal to the area under the graph during that same time interval. The vertical axis in the graph represents the acceleration of the object.

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