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A helicopter moves in such a way that its position at any time is described by the horizontal and vertical equations x = 5t + 12t2 and y = 10 + 2t + 6t2 , where x and y are in meters and t is in seconds.
(a) What is the initial position of the helicopter at time t = 0?
(b) What are the x and y components of the helicopter's acceleration at 3 seconds?
(c) What is the speed of the helicopter at 4 seconds?
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