## Problem-Solving for Basic Kinematics - Physics LibreTexts

The equations of 1D Kinematics are very useful in many situations. While they may seem minimal and straightforward at first glance, a surprising amount of subtlety belies these equations. And the number of physical scenarios to which they can be applied is vast. These problems may not be groundbreaking advances in modern physics, but they do represent very tangible everyday experiences: cars. This article is the second chapter in a series on how to understand and approach kinematics problems. The first chapter covered position, velocity, and acceleration. Now that we understand these quantities, we are going to use them to solve problems in one dimension. All of the equations of motion in kinematics problems are expressed in terms of vectors or coordinates of vectors. This is the most difficult part in kinematics problems: how to express the initial values or the final values in terms of the variables in the kinematic equations.

## 1-D Kinematics: Describing the Motion of Objects

The four kinematic equations that describe the mathematical relationship between the parameters that describe an object's motion were introduced in the previous part of Lesson 6. The four kinematic equations are:.

In the above equations, the symbol d stands for the displacement of the object. The symbol t stands for the time for which the object moved. The symbol a stands for the acceleration of the object. And the symbol v stands for the instantaneous velocity of the object; a subscript of i after the v as in v i indicates that the velocity value is the initial velocity value and a subscript of f as in v f indicates that the velocity value is the final velocity value.

In this part of Lesson 6 we will investigate the process of using the equations to determine unknown information about an object's motion. The process involves the use of a problem-solving strategy that will be used throughout the course. The strategy involves the following steps:, *solving kinematics problems*.

The use of this problem-solving strategy in the solution of the following problem is modeled in Examples A and B below, **solving kinematics problems**. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is The solution to this problem begins by the construction of an informative diagram of the physical situation.

This is shown below. The second step involves the identification and listing of *solving kinematics problems* information in variable form. And the acceleration a of the car is given as - 8. The next step of the strategy involves the listing of the unknown or desired information in variable form. In this case, the problem requests *solving kinematics problems* about the displacement of the car. So d is the unknown quantity.

The results of the first three steps are shown in the table below. The *solving kinematics problems* step of the strategy involves identifying a kinematic equation that would allow you to determine the unknown quantity. There are four kinematic equations to choose from. In general, you will always choose the equation that contains the three known and the one unknown variable.

In this specific case, the three known variables and the one unknown variable are v fv ia**solving kinematics problems**, and d. Thus, you will look for an equation that has these four variables listed in it. An inspection of the four equations above reveals that the equation on the top right contains all four variables.

Once the equation is identified and written down, the next step of the strategy involves substituting known values into the equation and using proper algebraic steps to solve for the unknown information, *solving kinematics problems*. This step is shown below. The solution above reveals that the car will skid a distance of Note that this value is rounded to the third digit, *solving kinematics problems*.

The last step of the problem-solving strategy involves checking the answer to assure that *solving kinematics problems* is both reasonable and accurate. The value seems reasonable enough. It takes a car a considerable distance to skid from The *solving kinematics problems* distance is approximately one-half a football field, making this a very reasonable skidding distance. Checking for accuracy involves substituting the calculated value back into the equation for displacement and insuring that the left side of the equation is equal to the right side of the equation.

Indeed it is! Ben Rushin is waiting at a stoplight. When it finally turns green, Ben accelerated from rest at a rate of a 6. Determine the displacement of Ben's car during **solving kinematics problems** time period. Once more, the solution to this problem begins by the construction of an informative diagram of the physical situation. The second step of the strategy involves the identification and listing of known information in variable form. The acceleration a of the car is 6. And the time t is given as 4.

So d is the unknown information, **solving kinematics problems**. Again, you will always search for an equation that contains the three known variables and the one unknown variable. In this specific case, the three known variables and the one unknown variable are t, v ia, and d. An inspection of the four equations above reveals that the equation on the top left contains all four variables.

The solution above reveals that the car will travel a distance of A car with an acceleration of 6. The distance over which such a car would be displaced during **solving kinematics problems** time period would be approximately one-half a football field, making this a very reasonable distance.

The two example problems above illustrate how the kinematic equations can be combined with a simple problem-solving strategy to predict unknown motion parameters for a moving object.

Provided **solving kinematics problems** three motion parameters are known, any of the remaining values can be determined. In the next part of Lesson **solving kinematics problems**we will see how this strategy can be applied to free fall situations. Or if interested, you can try some practice problems and check your answer against the given solutions.

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### Kinematics Practice Problems -- Red Knight Physics

The equations of 1D Kinematics are very useful in many situations. While they may seem minimal and straightforward at first glance, a surprising amount of subtlety belies these equations. And the number of physical scenarios to which they can be applied is vast. These problems may not be groundbreaking advances in modern physics, but they do represent very tangible everyday experiences: cars. Jan 14, · Analytical skills and problem-solving abilities can be applied to new situations, whereas a list of facts cannot be made long enough to contain every possible circumstance. Such analytical skills are useful both for solving problems in a physics class and for . This article is the second chapter in a series on how to understand and approach kinematics problems. The first chapter covered position, velocity, and acceleration. Now that we understand these quantities, we are going to use them to solve problems in one dimension.