Biology

Unit 1 – 1D Motion

1. During a relay race, runner A runs a certain distance due north and then hands off the baton to runner B, who runs for the same distance in a direction south of east. The two displacement vectors A and B can be added together to give a resultant vector R. Which drawing correctly shows the resultant vector?

|A |B |C |D |

|[pic] |[pic] |[pic] |[pic] |

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2. The drawing on below shows a displacement vector A (450.0 m along the -y axis). In this x, y coordinate system the scalar components are Ax = 0 m and Ay = -450.0 m. Suppose that the coordinate system is rotated counterclockwise by 35.0°, but the magnitude (450.0 m) and direction of vector A remain unchanged (see the right drawing). What are the scalar components, Ax' and Ay', of the vector A in the rotated x', y' coordinate system?

|[pic] |A |

| |Ax' = -450 cos 35o  m and Ay' = -450 sin 35o m  |

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| |B |

| |Ax' = +450 cos 35o m and Ay' = -450 sin 35o m |

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