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- The velocity vector of a particle is given by: V = Vje-)[sin(wt)i + cos(wt)j] where, Vo = 12.1 m/s; T = 2.5 s; w = 5.2 rad/s Calculate the magnitude of the acceleration (in m/s2) at t = 7.4 sA small metal ball is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 19.9t and y = 3.60t - 4.90t2, where x and y are in meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball'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 = (c) Obtain the expression for the acceleration vector a as a function of time (in m/s²). m/s² m r = (d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the metal ball at t = 2.76 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s².) ✓ = m/s a m m/s m/s²The position vector of a particle is given by r= At5i + Bt6j,where A and B are constants and i and j are unit vectors.Find the velocity