The location P(t) of an object moving in the xy-plane at time t seconds is given by the equations P(t) = (x(t), y(t)), where x(t) = a + 3t and y(t) = b + 8t, a, b are constants and distances are measured in units of meters. The equations x(t), y(t) describe linear parametrized motion.
a) The line along which the object is moving in the plane has the equation: y=___x+___.
b) Let d(t) be the distance the object has traveled after t seconds. The formula for d(t) is:
c) The instantaneous rate of change of d(t) at time t is: