formula to use for 1-d motion kinematics physics to solve for magnitude

In one-dimensional motion, kinematics can be described using several key formulas. The primary equations relate displacement, velocity, acceleration, and time. The most commonly used formulas are:

1. **Displacement**:  
   \[ s = ut + \frac{1}{2} a t^2 \]  
   where:
   - \( s \) = displacement
   - \( u \) = initial velocity
   - \( a \) = acceleration
   - \( t \) = time

2. **Final Velocity**:  
   \[ v = u + at \]  
   where:
   - \( v \) = final velocity

3. **Velocity and Displacement**:  
   \[ v^2 = u^2 + 2as \]

To find the magnitude of velocity or displacement, ensure all values (initial velocity, acceleration, time, etc.) are positive, as magnitude refers to the size without direction.

### Example Usage
- To find the final velocity given initial velocity, acceleration, and time, use the second formula.
- To find displacement when you know initial velocity, acceleration, and time, use the first formula.

If you have specific values or a scenario in mind, feel free to share for a detailed solution!

Would you like more examples or explanations on any specific kinematic equations? Here are some related questions you might consider:

1. How do you apply these equations in real-world problems?
2. What is the difference between scalar and vector quantities in motion?
3. Can you explain uniformly accelerated motion?
4. How do you derive the equations of motion?
5. What role does initial velocity play in these equations?

**Tip**: Always draw a diagram of the motion if possible; it helps visualize the problem and the relationships between different variables.

Discover the key formulas for one-dimensional kinematics, including displacement and velocity equations, to solve for magnitude in motion problems. This resource is ideal for high school physics students exploring fundamental concepts.

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