A small stone is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 19.4t and y = 3.76t - 4.90t2, where x and y are in meters and t is in seconds. (Do not include units inyour answer.)(a) Write a vector expression for the stone's position as a function of time (in m), using the unit vectors î and ĵ. (Give the answer in terms of t.)r =By taking derivatives, do the following.(b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.)V =a=m(c) Obtain the expression for the acceleration vector a as a function of time (in m/s²).m/s27r =m/s(d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the stone at t = 3.18 s. (Assume the position is in m, the velocity is in m/s and the acceleration is inm/s².)a=mm/sm/s²D

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