Question: Use matlab , please do part c,d,e Let the following polynomial represent the altitude in meters during the first 48 hours following the launch of
Let the following polynomial represent the altitude in meters during the first 48 hours following the launch of a weather balloon: h(t) = - 0.12t^4 + 12t^3 - 380t^2 + 4100t + 220 Assume that the unit of t is hours. (a) Use MATLAB together with the fact that the velocity is the first derivative of the altitude to determine the equation for the velocity of the balloon. (b) Use MATLAB together with the fact that acceleration is the derivative of velocity, or the second derivative of the altitude, to determine the equation for the acceleration of the balloon. (c) Use MATLAB to determine when the balloon hits the ground. Because h(t) is a fourth-order polynomial, there will be four answers. However, only one answer will be physically meaningful. (d) Use MATLAB's symbolic plotting capability to create plots of altitude, velocity, and acceleration from time 0 until the balloon hits the ground [which was determined in part (c)]. You'll need three separate plots, since altitude, velocity, and acceleration have different units. (e) Determine the maximum height reached by the balloon. Use the fact that the velocity of the balloon is zero at the maximum height
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