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Find the velocity and position vectors of a particle that has the given acceleration and the...

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.

a(t) = 4t, et, e−t   v(0) = 0,0,−5  r(0) = 0,1, 4

Math   Calculus   
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I solved the problem step by step.Please feel free to comment if you have doubt in any step.Please up vote if you understand the solution. Thank you.

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