Final answer:
The formula for acceleration is a = Δv / Δt, the formula for force is F = m × a, mass is a measure of matter usually in kg, and average speed is calculated by dividing the total distance traveled by the total time taken.
Step-by-step explanation:
Formulas for Acceleration, Force, Mass, and Average Speed
The formula for acceleration (a) is derived by determining the change in velocity (Δv) over the change in time (Δt). It is expressed as:
Where Δv is the final velocity minus the initial velocity, and Δt is the time period over which this change occurs.
To find the force (F), one uses Newton's second law of motion, which states:
Here, 'm' represents mass and 'a' is the acceleration.
- Mass (m) is a measure of the amount of matter in an object and is typically measured in kilograms (kg).
The formula for average speed is given by:
- Average speed = Total distance traveled / Total time taken
- This yields the average rate of travel over a journey.
These concepts are fundamental in the study of kinematics, which connects the dots between motion, velocity, and acceleration.