Again, you will always search for an equation that contains the three known variables and the one unknown variable. There are four kinematic equations to choose from. The next step of the strategy involves identifying a kinematic equation that would allow you to determine the unknown quantity. The results of the first three steps are shown in the table below. In this case, the problem requests information about the displacement of the car. The next step of the strategy involves the listing of the unknown (or desired) information in variable form. The acceleration ( a) of the car is 6.00 m/s 2. Note that the v i value can be inferred to be 0 m/s since Ben's car is initially at rest. The second step of the strategy involves the identification and listing of known information in variable form. Once more, the solution to this problem begins by the construction of an informative diagram of the physical situation. Determine the displacement of Ben's car during this time period.
When it finally turns green, Ben accelerated from rest at a rate of a 6.00 m/s 2 for a time of 4.10 seconds. An inspection of the four equations above reveals that the equation on the top right contains all four variables.īen Rushin is waiting at a stoplight. Thus, you will look for an equation that has these four variables listed in it. In this specific case, the three known variables and the one unknown variable are v f, v i, a, and d. In general, you will always choose the equation that contains the three known and the one unknown variable. (Always pay careful attention to the + and - signs for the given quantities.) The next step of the strategy involves the listing of the unknown (or desired) information in variable form. And the acceleration ( a) of the car is given as - 8.00 m/s 2. The initial velocity ( v i) of the car is +30.0 m/s since this is the velocity at the beginning of the motion (the skidding motion). Note that the v f value can be inferred to be 0 m/s since Ima's car comes to a stop. The second step involves the identification and listing of known information in variable form. The solution to this problem begins by the construction of an informative diagram of the physical situation. (Note that the direction of the velocity and the acceleration vectors are denoted by a + and a - sign.) If Ima's acceleration is -8.00 m/s 2, then determine the displacement of the car during the skidding process. The light turns yellow, and Ima applies the brakes and skids to a stop. Ima Hurryin is approaching a stoplight moving with a velocity of +30.0 m/s. The use of this problem-solving strategy in the solution of the following problem is modeled in Examples A and B below.
Identify and list the given information in variable form.Construct an informative diagram of the physical situation.The strategy involves the following steps: The process involves the use of a problem-solving strategy that will be used throughout the course. In this part of Lesson 6 we will investigate the process of using the equations to determine unknown information about an object's motion.
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