The motion of a particle is defined by the equations x = (t + 1)2 and y = 4(t + 1)?2, where x and y are expressed in meters and t in seconds. Show that the path of the particle is part of the rectangular hyperbola shown and determine the velocity and acceleration when(a) t = 0,(b) t = ? s.

y (ft) 0 1 -(t=0) x (ft)