On an alien world sound travels very slow due to a thin atmosphere, with vsound = 95.5 m/s. Anastronaut stands on the edge of a very tall 4580 m cliff on this world. She drops from rest afirecracker off the edge of the cliff and wants the sound of the firecracker to return to her location atthe exact instant that the firecracker reaches the bottom of the cliff.(a) If the acceleration due to gravity on this world is 7.77 m/s², and the explosion of thefirecracker in no way affects its path, then how long must the firecracker's fuse burn?(b) Then 1.88 s after dropping the firecracker the astronaut releases a small rocket from restthat is pointing straight down off the same cliff. This rocket has a non-constant thrustacceleration that is described by a,hrust = 6.15 m/s² – 0.24t m/s³. This thrust acts inaddition to gravity. Will the rocket reach the firecracker before it reaches explodes? And ifso, at what height above the ground?(c) What initial velocity would the rocket mentioned above need in order to reach thefirecracker at the moment it explodes?

Answer: The calculation of the fire cracker’s fuse burn is given as below:

Answered: On an alien world sound travels very…

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