I have the answer ready in paint but i am not able to upload. 1) F(0)=(1,0), F(pi/4)=(0,1), F(pi/2) =(-1,0), F(3pi/4)=(0,-1) & F(pi/2)=(1,0) Hence the and moves in a circle of radius 1 unit. 2) F\'(t)= (-2sin2t, 2cos2t) F\'(pi/2) = (0, -2) This represents the Speed at t= pi/2 3) Integral 0 to 1 F(t) dt = Area of circle = pir^2 = pi (as r = 1) Solution I have the answer ready in paint but i am not able to upload. 1) F(0)=(1,0), F(pi/4)=(0,1), F(pi/2) =(-1,0), F(3pi/4)=(0,-1) & F(pi/2)=(1,0) Hence the and moves in a circle of radius 1 unit. 2) F\'(t)= (-2sin2t, 2cos2t) F\'(pi/2) = (0, -2) This represents the Speed at t= pi/2 3) Integral 0 to 1 F(t) dt = Area of circle = pir^2 = pi (as r = 1).