[Motion in R³] A drone has an initial position of (3,1, 2) and an initial velocity of (-2,5,1). The drone's acceleration can be given by the function a(t) = (4 - 6t, 9 sin(3t), 10e-2¹). (a) Derive a formula for the position of the drone as a function of t. (b) If the drone flies for 4 seconds, where does the drone end up?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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10. [Motion in R³] A drone has an initial position of (3,1,2) and an initial velocity of (-2,5,1). The
drone's acceleration can be given by the function a(t) = (4 - 6t, 9 sin(3t), 10e-2t).
(a) Derive a formula for the position of the drone as a function of t.
(b) If the drone flies for 4 seconds, where does the drone end up?
Transcribed Image Text:10. [Motion in R³] A drone has an initial position of (3,1,2) and an initial velocity of (-2,5,1). The drone's acceleration can be given by the function a(t) = (4 - 6t, 9 sin(3t), 10e-2t). (a) Derive a formula for the position of the drone as a function of t. (b) If the drone flies for 4 seconds, where does the drone end up?
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