Problem 1 (A quiz problem from Fall 2020). Alice, a nature enthusiant, stumbles upon two wild turkeys while out on her daily walk. The two turkeys are directly in front of Alice, with one of the turkeys initially 2m further away than the other. Alarmed by Alice's sudden appearance, the two turkeys begin gobbling in an attempt to intimidate her. At time t = 0, the more distant turkey begins walking toward Alice at constant speed 0.5 m/s. Treat the gobbles as sinusoidal sound waves with characteristic frequency 636 Hz and assume the turkeys gobble in phase. Take the speed of sound to be 343 m / 5. (You can assume the frequency that Alice hears is unaffected by the motion of the turkey.) O x0=2m (a) Give all the times after t = 0 at which the turkeys' gobbles constructively interfere, up to and including the time when the turkeys are at the same distance from Alice. (b) What is the minimum distance between the turkeys at which their gobbles interfere destruc- tively