S?! the Prrfacefor an explanation of the icons used For additional assessment itemsfor this section, go 1:0,"; WEBASSIGN I ~ From angul- in this problems set. SECTION 4.1 The Position, Velocity, and Acceleration Vectors 1. Suppose the position vector for a Particle is given as a func- tion of time by 7'0) = x(l)i + 510!) j, with x0) = at + b and ya!) = ct? + d, where a = 1.00 m/s, [2 = 1.00m, c = 0.125 m/sz, and d = 1.00 m. (3.) Calculate the average velocity during the time interval from t= 2.005 to t = 4.00 s. (b) Determine the velocity and the speed at t = 2.00 s. 2. The coordinates of an object moving in the xy plane vary with time according to the equations as = 5.00 sin wt and y = 4.00 - 5.00 cos wt, where to is a constant, xand y are in meters, and tis in seconds. (a) Determine the components i of velocity of the object at t = 0. (b) Determine the com- ponents of acceleration of the object at t = 0. (c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (d) Describe the path of the object in an xy plot. SECTION 4.2 Two-Dimensional Motion with Constant Acceleration 3. The vector position of a particle varies in time according to the expression 3" = 3.00i 6.00523, where T" is in meters and tis in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the accelerate tion of the particle as a function of time. (c) Calculate the particle's position and velocity at t = 1.00 s