Explain your answer or give a counterexample. [Hint - it may be useful to think about circular motion about the origin.]

Question

Quizplus · Accepted Answer

Note that 11eaa88b_936a_c5bd_a696_fbe019d1c35a_TB5869_11 is the rate of change of the length of the vector 11eaa88b_936a_ecce_a696_3598f0542ed4_TB5869_11 and may be zero even if the terminal point of 11eaa88b_936b_13df_a696_43ab244c3833_TB5869_11 is translating through space (this is precisely the case for circular motion about the origin). On the other hand, 11eaa88b_936b_13e0_a696_d5a7fca95789_TB5869_11 is the magnitude of the vector 11eaa88b_936b_3af1_a696_256fb5bcadff_TB5869_11 and is zero only if 11eaa88b_936b_3af2_a696_f1804d01803b_TB5869_11 (that is, if the vector 11eaa88b_936b_6203_a696_cfd9afa2234d_TB5869_11 is stationary at time t). For circular motion about the origin, then, 11eaa88b_936b_8914_a696_09b733cc2478_TB5869_11 whereas 11eaa88b_936b_8915_a696_739a2727ec41_TB5869_11 . Therefore, 11eaa88b_936b_b026_a696_d7fc27a65666_TB5869_11 .

Explain Your Answer or Give a Counterexample