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A rocket is launched vertically and reaches its maximum height hmax. What are its velocity, v(t)= (dh/dt) , and height above ground h(t) as a function of time t >_ 0(greater than or equal to) before it lands on ground (h = 0)? You should model this rocket as a particle with mass m0, assume constant gravitational acceleration g and use a second order model, cv2 in which c is constant, for air resistance (drag) force. Set t = 0 when this rocket starts its descent i.e. h(0) = hmax and v(0) = 0.
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