alot of my questions deal with speed and height. what are the different types formula I can use to figure these things out

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When it comes to questions involving speed and height, there are different formulas you can use depending on the specific situation. Here are some commonly used formulas:

1. Average Speed (or Velocity):
- Average Speed = Total Distance / Total Time

To calculate the average speed, divide the total distance traveled by the object by the total time taken to cover that distance.

2. Speed (or Velocity) with Constant Acceleration:
- Final Velocity = Initial Velocity + (Acceleration × Time)

This formula applies when an object accelerates or decelerates at a constant rate. It allows you to calculate the final velocity based on the initial velocity, acceleration, and time elapsed.

3. Distance Covered with Constant Acceleration:
- Distance Covered = (Initial Velocity × Time) + (0.5 × Acceleration × Time^2)

This formula is used to find the distance covered by an object with constant acceleration over a given time period. It takes into account the initial velocity, time, and acceleration.

4. Displacement with Constant Acceleration:
- Displacement = (Initial Velocity × Time) + (0.5 × Acceleration × Time^2)

Similar to the previous formula, this one calculates the displacement (change in position) of an object with constant acceleration over a given time period. It considers the initial velocity, time, and acceleration.

5. Free-fall Height:
- Height = (0.5 × Acceleration due to Gravity × Time^2)

This formula is specifically used to calculate the height an object reaches when it is in free fall due to gravity. It only considers the acceleration due to gravity and the time elapsed.

These formulas outline some of the most common calculations involving speed and height. To use them efficiently, make sure you have the necessary variables (such as distance, time, acceleration, or initial/final velocity) and apply the appropriate formula based on your specific scenario.