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( 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; see section 10.1 of the textbook for review.

(h) the line along which the object is moving in the plane has the equation: y=+

(i) let d(t) be the distance the object has traveled after t seconds. the formula for d(t) is:

(j) the instantaneous rate of change of d(t) at time t is: