The position r vector of a particle moving in an xy plane is given by r vector = (2.00t^3 - 5.00t)i + (6.00 - 7.00t^4)j, with r in meters and t in...

The position r vector of a particle moving in an xy plane is given by r vector = (2.00t^3 - 5.00t)i + (6.00 - 7.00t^4)j, with r in meters and t in seconds. In unit-vector

notation, calculate (a) r , (b) v , and (c) a for t = 2.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2.00 s?