Consider a person starting at some location and walks forward 10 paces. Draw a v

Question

Consider a person starting at some location and walks forward 10 paces. Draw a vector that represents the change in position of the person. The person now decides to continue walking forward and travels another 5 paces. Draw a vector that represents this change in position. Draw a single vector that represents the change in position from start to finish for the person. How does the length of the third vector compare to the two previous vectors? Knowing each of those vectors, how could you calculate the length of the RESULTANT vector? Explain. Another person walks straight ahead 10 paces and then turns right and walks 5 paces at an angle of 45 degrees with respect to his original direction. Draw a vector for the change in position for each part of the trip. Draw a single vector that represents the change in position for the entire trip from start to finish. How does the length of the third vector compare to the length of the individual vectors in #4? Can you add two vectors together by simply summing their magnitudes? Explain. What questions do you have?

Explanation / Answer

4) Net X position = 10 + 5cos45

                              = 13.53 paces

    Net Y position = 5sin45

                              = 3.53 paces

=> Net position = sqrt(13.532 + 3.532)

                           = 13.98 paces

=> direction = tan-1(3.53/13.53)

                     = 14.62 degree

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