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ChatGPT
Jun 16
The equation of motion in physics is a mathematical expression that describes the motion of an object in terms of its position, velocity, acceleration, and time. It is typically derived from Newton's laws of motion and can be used to predict the future motion of an object based on its initial conditions and the forces acting upon it. The most common form of the equation of motion is:
\[s = ut + \frac{1}{2}at^2\]
where:
- \(s\) is the displacement of the object
- \(u\) is the initial velocity of the object
- \(a\) is the acceleration of the object
- \(t\) is the time elapsed
This equation can be used to describe the motion of an object under constant acceleration.
\[s = ut + \frac{1}{2}at^2\]
where:
- \(s\) is the displacement of the object
- \(u\) is the initial velocity of the object
- \(a\) is the acceleration of the object
- \(t\) is the time elapsed
This equation can be used to describe the motion of an object under constant acceleration.
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Google Gemini AI
Jun 16
The equation of motion is a mathematical expression that describes the change in position, velocity, or acceleration of an object over time. There are several types of equations of motion, but the most common are:
Position Equation:
```
x = x0 + v0-t + 1/2-a-t^2
```
where:
- x is the final position
- x0 is the initial position
- v0 is the initial velocity
- t is the time
- a is the acceleration
Velocity Equation:
```
v = v0 + a-t
```
where:
- v is the final velocity
- v0 is the initial velocity
- a is the acceleration
- t is the time
Acceleration Equation:
```
a = (v - v0) / t
```
where:
- a is the acceleration
- v is the final velocity
- v0 is the initial velocity
- t is the time
These equations can be used to solve a variety of problems involving motion, such as finding the distance an object has traveled, its velocity at a given time, or its acceleration.
Position Equation:
```
x = x0 + v0-t + 1/2-a-t^2
```
where:
- x is the final position
- x0 is the initial position
- v0 is the initial velocity
- t is the time
- a is the acceleration
Velocity Equation:
```
v = v0 + a-t
```
where:
- v is the final velocity
- v0 is the initial velocity
- a is the acceleration
- t is the time
Acceleration Equation:
```
a = (v - v0) / t
```
where:
- a is the acceleration
- v is the final velocity
- v0 is the initial velocity
- t is the time
These equations can be used to solve a variety of problems involving motion, such as finding the distance an object has traveled, its velocity at a given time, or its acceleration.
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