PLEASE SHOW ALL STEPS NEEDE TO SOLVE, THANK YOU The setting in the movie is Spac

Question

PLEASE SHOW ALL STEPS NEEDE TO SOLVE, THANK YOU

The setting in the movie is Space Station, which is at rest in deep space, far from any stars. The evil and vile Alicia Badax has escaped from the station's prison. She steals a small shuttle and blasts off to meet her partners somewhere in deeper space. The stolen shuttle moves at a constant speed of 24 meters per second in outer space. Meanwhile, Major Starr learns of the escape while dining with the station's commander, Spock. After finishing dessert, The Major rushes to persue Alicia in a star ship that has a constant speed of 30 meters per second. By the time the Major starts after Alicia, she is 110,000 meters away from the space station and is heading for a worm whole that will let her escape. The worm whole is 500,000 meters from Alicia when the Major leaves the station. Does Alicia escape through the worm whole or does the Major re-capture her? [assume all speeds (initial, final, average) to be constant]

Explanation / Answer

The initial distance between Alicia and Major =110000 m

Alicia's speed = 24 m/s

Major's speed= 30 m/s

Relative speed of Major with respect to Alicia = 30m/s-24m/s=6m/s

Time taken by Major to cover the distance= 110000/6 s

Distance Alicia travels in this time before she can get caught= (110000/6)*24 = 440000m

Distance of worm-hole from Alicia when the Major leaves the station = 550000m

This distance is greater than the distance that Alicia will cover before the Major catches up with her.

Hence Alicia will not be abe to escape and will get caught by the Major.

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