1. Velocity as a function of time:
* v = u + at
* where:
* v = final velocity
* u = initial velocity
* a = acceleration
* t = time
2. Displacement as a function of time:
* s = ut + (1/2)at²
* where:
* s = displacement
* u = initial velocity
* a = acceleration
* t = time
3. Velocity as a function of displacement:
* v² = u² + 2as
* where:
* v = final velocity
* u = initial velocity
* a = acceleration
* s = displacement
4. Average velocity:
* v_avg = (u + v) / 2
* where:
* v_avg = average velocity
* u = initial velocity
* v = final velocity
Assumptions:
These equations are based on the following assumptions:
* Constant acceleration: The acceleration of the object is constant and in one direction.
* Linear motion: The object is moving in a straight line.
* Neglecting air resistance: Air resistance is considered negligible.
Applications:
These equations are widely used in physics and engineering to analyze and predict the motion of objects with constant acceleration. They can be applied to various scenarios, such as:
* Calculating the distance traveled by a car accelerating from rest.
* Determining the time it takes for a ball to reach a certain height when thrown vertically.
* Predicting the final velocity of a rocket after a specific time interval.
Note:
These equations only work for constant acceleration. If the acceleration is not constant, you will need to use calculus or other methods to analyze the motion.
