Given that y=asinωt+bt+ct2cosωt. The unit of abc is same as that of
y
y/t
(y/t)2
(y/t)3
y=asinωt+bt+ct2cosωt Here a=y; b=y/t; c=y/t2∴ a×b×c=y×y/t×y/t2=(y/t)3