(Almost) a Dozen Diagrams Learning Goal: To practice Problem-Solving Strategy 1.
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Question
(Almost) a Dozen Diagrams Learning Goal: To practice Problem-Solving Strategy 1.1 for constructing motion diagrams. A car is traveling with constant velocity along a highway. The driver notices he is late for work so he stomps down on the gas pedal and the car begins to accelerate. The car has just achieved double its initial velocity when the driver spots a policeman behind him and applies the brakes. The cart hen decelerates, coming to rest at a stoplight ahead. In this problem, you will be asked several questions related to construction of a motion diagram for this situation and a few others. MODEL: Represent the moving object as a particle. Make simplifying assumptions when interpreting the problem statement. VISUALIZE: A complete motion diagram consists of: The position of the object in each frame of the film, shown as a dot. Use five or six dots to make the motion clear but without overcrowding the picture. More complex motions may need more dots. The average velocity vectors, found by connecting each dot in the motion diagram to the next with a vector arrow. There is one velocity vector linking each set of two position dots. Label the row of velocity vectors v^right arrow. The average acceleration vectors, found using Tactics Box 1.3. There is one acceleration vector linking each set of two velocity vectors. Each acceleration vector is drawn at the dot between the two velocity vectors it links. Use 0^rightarrow to indicate a point at which the acceleration is zero. Label the row of acceleration vectors a^rightarrow. Model It is appropriate to use the particle model for the car. You should also make some simplifying assumptions. Which of the following simplifying assumptions is it reasonable to make in this problem? Check all that apply. During each of the three different stages of its motion, the car is moving with constant (possibly zero) acceleration. During each of the three different stages of its motion, the car is moving with constant (possibly zero) velocity. The highway is straight (i.e., there are no curves). The highway is level (i.e., there are no hills or valleys).Explanation / Answer
This is only assumption we need to make it reasonable problem.
During each of the different stages of its motion, car is moving with constant acceleration.
Because we can apply Newton's law only in constant acceleration.
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