The graphs below represent the position, velocity and acceleration of a child swinging on a swing. Identify the correct relationships between these functions.
(i) B ″ ( t ) = C ′ ( t ) = A ( t ) {\displaystyle B''(t)=C'(t)=A(t)}
(ii) B ″ ( t ) = A ′ ( t ) = C ( t ) {\displaystyle B''(t)=A'(t)=C(t)}
(iii) A ″ ( t ) = C ′ ( t ) = B ( t ) {\displaystyle A''(t)=C'(t)=B(t)}
(iv) A ″ ( t ) = B ′ ( t ) = C ( t ) {\displaystyle A''(t)=B'(t)=C(t)}
(v) C ″ ( t ) = A ′ ( t ) = B ( t ) {\displaystyle C''(t)=A'(t)=B(t)}
(vi) C ″ ( t ) = B ′ ( t ) = A ( t ) {\displaystyle C''(t)=B'(t)=A(t)}
