The motion of a pendulum swinging in the direction of motion of a car moving at a low, constant speed, can be modeled by s = s(t) = 0.08 sin(2t) + 3t 0 5 t S 7: where s is the distance in meters and t is the time in seconds. Find the velocity v and acceleration a of the pendulum at time t. (Express numbers in exact form. Use symbolic notation and fractions where needed.) um = | a(t) = | Find the velocity v at t = 8 t and t = 2 (Use decimal notation. Give your answers to two decimal places, if needed.) U OO N m/s U = m/s U NA = m/sFind the acceleration a at t = t and t = 2 (Use decimal notation. Give your answers to two decimal places, if needed.) a m/s2 a ( = m/s2 a m/s2Graph 3 = s(t), v = 00?), and a = (10?) on the same screen. (Separate the equations with commas.) Find the coordinates of the points on the graph of the parabola y = x2 that are closest to the point (6, i)' (Give your answer as a comma separated list of the point coordinates in the form (*, *), (*, *).) Recall: The distance formula is: d2 = (x2 x1)2 + (yg y1)2 Give your answer an exact solution. You may need to use a root/radical in your solution. Check the "Student Hint" for help setting up this