LAB 1: INTRODUCTION TO MOTION

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Lab 1: Uniform Motion 2. In a vector diagram where there is a change in position, there must also be a displacement vector arrow x which when added “head–to-tail” to the initial position vector, x i , must give the final position vector, x f . In the vector diagram above, draw the change in position vector. It should agree with x drawn in the diagram of the professor on the previous page. Does the displacement vector you have drawn above, x, agree with the displacement vector of the professor drawn in the above diagram of the professor and the wolf? 3. The situation for the displacement of the wolf is a little more complicated, since its initial position is in the negative direction, but once again x i and x added head-to-tail give x f . Vector Diagram. Add a displacement vector arrow x to the initial position vector so that it gives the final position of the wolf. Does it agree with displacement vector of the wolf drawn in the above diagram of the wolf chasing the professor? 4. From this it is clear that the direction of the change in position for both the Prof. and the wolf are both in the positive x direction. For that reason both velocities are positive. 5. What if the motion is in the opposite direction? In the situation shown below, calculate the displacement of the lady and her dog in the short time since the leash was pulled out of her hand. x x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Substitute initial and final positions into the equations below to get x. x lady = x f - x i = _______________ x dog = x f - x i = _______________ 6. You will notice that both displacements in this case are in the negative x direction. Does this agree with the sign of the displacements calculated above? Explain. Page 1- 6
Velocity (m/s) Lab 1: Uniform Motion 7. Draw vector diagrams for the lady to obtain the displacement vector. First draw the initial and final position vectors, and then draw the displacement vector. Make sure your result corresponds to the x lady in the diagram above. Do the same for the lady’s dog. Vector diagram for lady 8. Origin Vector diagram for dog Origin Measuring Velocity: Velocity is defined as the change in position, or displacement, divided by the change in time. Just like the displacement, velocity has magnitude and direction and is a vector quantity. Thus, when the displacement is positive, x f >x i , the velocity is positive. If x f
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LAB 1: INTRODUCTION TO MOTION

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