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3. [0.83/5 Points] DETAILS PREVIOUS ANSWERS LARCALC11M 12.3.007. The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = 6 cos ti + 6 sin tj (3\/2, 3V/2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = -6 sin (t) i + 6 cos(t)j X s(t) = 6 a(t) = -6 cos ( t ) i - 6 sin (t)j X (b) Evaluate the velocity vector and acceleration vector of the object at the given point. -3V2i+ 3v2j X -3V21 - 3V2j x (c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point. 4. [1/5 Points] DETAILS PREVIOUS ANSWERS LARCALC11M 12.3.016. The position vector r describes the path of an object moving in space. Position Vector Time r(t) = thi + tj + 2+3/2k t = 4 (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = 2ti + j + 3V t k X s(t) = V 472 + 1+91 27 + 3 a(t) = .k 2V t X (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. V(4) = 8i + j + 6k X a(4) = 27 + | CO k X