Consider the wave function at t = 0, ψ(x, 0) = c sin(3πx/2) cos(πx/2) on the interval 0 ≤ x ≤ 1.

(a.) compute the expectation value of x as a function of time for this ψ(x, t)
(b.) compute the expectation value of p as a function of time for ψ(x, t)
(c.) compare how 〈p〉 and 〈x〉 are related to what one would expect classically?
(d.) compute the expectation value of the energy as a function of time.

Aballoon is rising vertically upwards at a velocity of 10m/s. when it is at a height of 45m from the ground, a parachute bails out from it. after 3s he opens his parachute and decelerates ata a constant rate 5m/s.when. (a) what was the height of the parachutist above the ground when he opened his parachute? (b)how far is the parachutist from the balloon at t=3s? (c)with what velocity does the parachutist hit the ground? (d)after how long does the parachutist hit the ground after his exist from the balloon?