A police officer is driving due north at a constant speed of27 m/s relative to t

Question

A police officer is driving due north at a constant speed of27 m/s relative to the ground when shenotices a truck on the east-west highway ahead of her, driving westat a high speed. She finds that the truck's speed relative to hercar is 54 m/s (about 120 mph). (a) Sketch the vector triangle that showshow the truck's velocity relative to the ground is related to thepolice car's velocity relative to the ground and to the truck'svelocity relative to the police car. The sketch need not to be toscale, but the velocity vectors should be oriented correctly andbear the appropriate labels.

Explanation / Answer

         Velocity of the police with respectto ground VPE = 27j (due north)       Velocity of the truck with respectto police VTP = -54i (due west) Velocity of the police with respect to ground VTE =VTP-VPE                                                                                                                           = -54i- 27j (due SW)

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