The position vector r describes the path of an object moving in the xy-plane. Position VectorPoint r(t) = ti + (-t^2 + 5)j (1, 4) (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = s(t) = a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given point. v(1) = a(1) = (c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point.