Respuesta :
Answer:
E) [tex]\text{X}>\text{Y}>\text{Z}[/tex]
Step-by-step explanation:
GIVEN: Persons X, Y, and Z walk along a circular path of radius [tex]50\text{m}[/tex]. Person X walks halfway around the path, Person Y walks [tex]\frac{3}{4}[/tex] of the way around the path, and Person Z walks completely around the path.
TO FIND: Which of the following correctly lists the walkers in order of the magnitudes of their displacement vectors from the least to the greatest.
SOLUTION:
Consider the figure attached.
Displacement of X from start position [tex]=\text{radius}+\text{radius}[/tex]
[tex]=2\text{radius}=100\text{m}[/tex]
Displacement of Y from start position [tex]=\sqrt{\text{radius}}[/tex]
[tex]=\sqrt{50}=5\sqrt{2}\text{m}[/tex]
Displacement of Z from start position [tex]=0\text{m}[/tex]
As, [tex]\text{X}>\text{Y}>\text{Z}[/tex] option E is correct.
