Time taken by the woman if she walks in the same direction the sidewalk is moving is 13 seconds and for the opposite direction, it is 90 seconds.
The ratio of the object's travel distance over a specific period of time is known as its velocity. The magnitude and direction are both necessary for the velocity because it is a vector quantity.
Vw=Velocity of sidewalk = 1.2 m/s
Vs=Velocity of woman = 1.6 m/s
Distance to travel = 36 m
Time = Distance / Speed
If the woman goes in the same direction as the sidewalk, it will take her 13 seconds.
S = ( Vw + Vs ) = t
t = [ 36 / ( 1.6 + 1.2 ) ]
t = 12.857 or 13 seconds
If the woman goes against the flow of the sidewalk, it will take her 90 seconds.
S = ( Vw + Vs ) = t
t = [ 36 / ( 1.6 - 1.2 ) ]
t = 90 seconds
Hence, the time for the same direction is 13 seconds, and for the opposite direction 90 seconds.
The complete question is given below:-
A "moving sidewalk" in an airport terminal building moves at a speed of 1.2 m/s and is of the length of 36.0 m. A woman steps on at one end and walks at a speed of 1.6 m/s relatives to the moving sidewalk. A. How much time does she require to walk from one end to the other if she walks in the same direction the sidewalk is moving?
B. How much time does she require to walk from one end to the other if she walks opposite the direction the sidewalk is moving? Express your answer using two significant figures.
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