The velocity of an object is given by the expression v(t) = 3.00 m/s + (4.00 m/s3)t2, where t is in seconds. Determine the position of the object as a function of time if it is located at x = 1.00 m at time
A) (4.00 m/s)t + 1.00 m
B) (3.00 m/s)t + (1.33 m/s3)t3
C) (4.00 m/s)t
D) 1.33 m
E) 1.00 m + (3.00 m/s)t + (1.33 m/s3)t3
Answer: E
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Indicate whether the statement is true or false
A long-wavelength wave and a short-wavelength wave both move along the same rope. Which wave has the higher frequency, and which wave carries more energy, assuming their amplitudes are the same?
A) The short-wavelength wave has the higher frequency, but the two waves carry the same amounts of energy. B) The long-wavelength wave has the higher frequency and but the short-wavelength wave carries more energy. C) The long-wavelength wave has the higher frequency and carries more energy. D) The short-wavelength wave has the higher frequency and but the long-wavelength wave carries more energy. E) The short-wavelength wave has the higher frequency and carries more energy. E) no disturbance, because they cancel.