1-D Kinematics - Lesson 6 - Describing Motion with Equations If the values of three of the four variables are known, then the value of the fourth variable can be. Description: The Concept. Equations of Motion are designed to analyze motions with constant acceleration. They relate kinematic variables velocity. In circumstances of constant acceleration, these simpler equations of motion are usually referred to as the SUVAT equations, arising from the definitions of kinematic quantities: displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t).

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Acceleration compounds this simple situation since velocity is now also directly proportional to time. Try saying this in words and it sounds ridiculous. Would that it were so simple. This example only works when initial velocity is zero.

## What are the kinematic formulas? (article) | Khan Academy

Displacement is proportional to the square of time when acceleration is three equations of motion and initial velocity is zero. A true general statement would have to take into account any initial velocity and how the velocity was changing.

This results in a terribly messy proportionality statement. Displacement is directly proportional to time and proportional to the square of time when acceleration is constant. A function that is both linear and square is said to be quadratic, which allows us to compact the previous statement considerably.

Displacement is a quadratic function of time when acceleration is constant Proportionality statements three equations of motion useful, but not as concise as equations.

We still don't know what the constants of proportionality are for this problem.

### Equations of Motion

One way to figure them out is to use algebra. The relationships between speed, distance, time and acceleration was not known at the time. Galileo was the first to show that the path of a projectile is a parabola.

Galileo had an understanding of centrifugal force and gave a correct three equations of motion of momentum. This emphasis of momentum as a fundamental quantity in dynamics is of prime importance.

He measured momentum by the product of velocity and weight; mass is a later concept, developed by Huygens and Newton.

In the swinging of a simple pendulum, Galileo says in Discourses [6] that "every momentum acquired in the descent along an arc is equal to that which causes the same moving body to three equations of motion through the same arc. He did not generalize and make them applicable to bodies not subject to the earth's gravitation.

That step was Newton's contribution.

The term "inertia" was used by Kepler three equations of motion applied it to bodies at rest. The first law of motion is now often called the law of inertia. Galileo did not fully grasp the third law of motion, the three equations of motion of the equality of action and reaction, though he corrected some errors of Aristotle.

With Stevin and others Galileo also wrote on statics. He formulated the principle of the parallelogram of forces, but he did not fully recognize its scope. The BIG 4 The kinematic equations are a set of four equations that can be utilized to predict unknown information about an object's motion if other information is known.

They can never be used over any time period during which the acceleration is changing. Each of the kinematic equations include four variables. If the values of three of the four variables are known, then the value of the fourth variable can be calculated.

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