Uniform motion problems may involve objects going the same direction, opposite directions, or round trips.
Dynamics Lecture5 Dependent Motion of Two Bodies and Relative Motion Using Translating Axes - Download as Powerpoint Presentation .ppt /.pptx), PDF File .pdf), Text File .txt) or . Usually the dependent variable is isolated on one side of an equation. Formally, a dependent variable is a variable in an expression, equation, or function that has its value determined by the choice of value(s) of other variable(s). Word Problems – Uniform Motion Bill Hanlon Solving word problems is what kids in algebra live for. As there are different formats for solving different types of equations, there are different formats for solving different types of word problems. From this perspective there are two types of uniform motion problems. Either A. The distance.
The solution of the problem now requires the selection of an appropriate strategy for using the kinematic equations and the known information to solve for the unknown quantities.
It will almost always be the case that such a strategy demands that one of the vertical equations be used to determine the time of flight of the projectile and then one of the horizontal equations be used to find the other unknown quantities or vice versa - first use the horizontal and then the vertical equation.
An organized listing of known quantities as in the table above provides cues for the selection of the strategy. For example, the table above reveals that there are three quantities known about the vertical motion of the pool ball.
Since each equation has four variables in it, knowledge of three of the variables allows one to calculate a fourth variable. Thus, it would be reasonable that a vertical equation is used with the vertical values to determine time and then the horizontal equations be used to determine the horizontal displacement x.
Once the appropriate equation has been selected, the physics problem becomes transformed into an algebra problem.
By substitution of known values, the equation takes the form of The following procedure summarizes the above problem-solving approach. Carefully read the problem and list known and unknown information in terms of the symbols of the kinematic equations.
For convenience sake, make a table with horizontal information on one side and vertical information on the other side. Identify the unknown quantity that the problem requests you to solve for.
Select either a horizontal or vertical equation to solve for the time of flight of the projectile. With the time determined, use one of the other equations to solve for the unknown. Usually, if a horizontal equation is used to solve for time, then a vertical equation can be used to solve for the final unknown quantity.
One caution is in order. The sole reliance upon 4- and 5-step procedures to solve physics problems is always a dangerous approach. Physics problems are usually just that - problems!
While problems can often be simplified by the use of short procedures as the one above, not all problems can be solved with the above procedure.
While steps 1 and 2 above are critical to your success in solving horizontally launched projectile problems, there will always be a problem that doesn't fit the mold.
Problem solving is not like cooking; it is not a mere matter of following a recipe. Rather, problem solving requires careful reading, a firm grasp of conceptual physics, critical thought and analysis, and lots of disciplined practice. Never divorce conceptual understanding and critical thinking from your approach to solving problems.
Check Your Understanding A soccer ball is kicked horizontally off a Determine the initial horizontal velocity of the soccer ball.acknowledgement: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z: Absolute Value: the absolute value of a number is the distance the number is from the zero point.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute. Systems of Equations Word Problems; More Word Problems using Rational Functions; Absolute Value Word Problems; Note that Using Systems to Solve Algebra Word Problems can be found here in the Systems of Linear Equations and Word Problems section.
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An object that moves at a constant rate is said to be in uniform motion. The formula d = rt gives the relationship between distance d, rate r, and time t. Uniform motion problems may involve objects going the same direction, opposite directions, or round trips.
Independent and Dependent Events. If the occurrence or non-occurrence of E 1 does not affect the probability of occurrence of E 2, then.
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