Question

Given the wavefunction of a standing wave: y(x,t) = A sin(πx)cos(2πt), where x and y are in meters and t is in seconds. The position of the second anti-node from the end x = 0 is at:

Answer 1

An antinode is a point along a medium which undergoes maximum displacement above and below the rest position.

So, the second anti-node is at x = 3/2:

$y(x,t) = A sin(3π/2)cos(2πt)=-Acos(2πt)$