An electron in the 5" excited state is trapped in a 1-d infinite square well with edges at x = 0 and x= 3 nm a. sketch the wavefunction of the electron b. calculate the energy of the electron c. what is the probability of finding the electron between 0 and 1.5 nm? d. the energy of the sides of the well is lowered from infinity to about 5 ev. without calculating, describe how the energy and wavelength of the electron will change and explain why these changes will occur based on the wavefunction

Afaulty model rocket moves in the xy-plane (the positive y direction is vertically upward). the rocket's acceleration has components ax(t) = ? t2 and ay(t) = ? ? ? t, where ? = 2.50 m/s4 , ? = 9.00 m/s2 , and ? = 1.40 m/s3 . at t = 0 the rocket is at the origin and has velocity ~v0 = v0x ? i + v0y ? j with v0x = 1.00 m/s and v0y = 7.00 m/s. (a) calculate the velocity and position vectors as functions of time. (b) what is the maximum height reached by the rocket? (c) sketch the path of the rocket. (d) what is the horizontal displacement of the rocket when it returns to y = 0?