The position vector r describes the path of an object moving in space. Find the velocity v((), speed s(!), and acceleration a(() of the object. r() = 2ti + 9tj + 60k X 11 Oi + 0j + 0kUse the model for projectile motion, assuming there is no air resistance. Determine the maximum height and range of a projectile fired at a height of 8 feet above the ground with an initial velocity of 500 feet per second and at an angle of 45 above the horizontal. (Round your answers to three decimal places. ) maximum height 1961.125 maximum range X11. [0/2 Points] DETAILS PREVIOUS ANSWERS LARSONETS 12.3.050. In this exercise, consider a particle moving on a circular path of radius b described by r() = b cos(wiji + b sin(@j, where @ = dw/of is the constant angular velocity. (a) Calculate the speed of the particle. IIVII = (b) Use a graphing utility in parametric mode to graph the circle for D = 6. Try different values of @ Does the graphing utility draw the circle faster for greater values of a? O Yes, greater values of omega are drawn faster. No, greater values of omega are drawn at the same speed. O No, greater values of omega are drawn slower