An electron\'s position is given by r = 4.00t i - 7.00t2 j + 4.00 k, with t in s

Question

An electron's position is given by r = 4.00t i - 7.00t2 j + 4.00 k, with t in seconds and r in meters. (a) In unit-vector notation, what is the electron's velocity v(t)? (Answer in terms of i, j, k, and t.) Click here to preview your answer. m/s (b) What is v in unit-vector notation at t = 6.00 s? Click here to preview your answer. m/s Click here for help with symbolic formatting. (c) What is the magnitude of v at t = 6.00 s? m/s (d) What angle does v make with the positive direction of the x axis at t = 6.00 s?

Explanation / Answer

If the electron stops, it means that the velocity has gone to zero. x = 14te^-5t dx/dt = 14e^-5t (1 - 5t) that is zero when t = 1/5 x(.2) = 1.03

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