find the velocity for an object having a(t) = e^(t) j - 32k , if v(0) = 3i - 2j + k?

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find the velocity for an object having a(t) = e^(t) j - 32k , if v(0) = 3i - 2j + k?

2007-09-17 18:50:01 · 1 answers · asked by beeboppinbippity 1 in Science & Mathematics ➔ Mathematics

vector valued function

2007-09-17 18:50:44 · update #1

1 answers

Integrating a(t) we get v(t) = e^tj - 32tk + C, where C = ai + bj + ck is a constant vector. Using the initial condition we find C = 3i -2j + k, so v(t) = 3i + (e^t - 2)j + (-32t + 1)k.

2007-09-18 01:40:55 · answer #1 · answered by Tony 7 · 1⤊ 0⤋