Now assume that we are working in units such that ℏ=1. If the state of the system at time t=0 is ψ(0)=|0⟩, what is the state of the system at time t=π2? What about at t=π?

t=π2:

the point (-3, 15) undergoes a translation of 9 units right and 10 units down. what are the coordinates of the new point?