a) A hotdog vendor named Sam is walking from the southwest corner of Central par
ID: 1354513 • Letter: A
Question
a) A hotdog vendor named Sam is walking from the southwest corner of Central park to the Empire State Building. He starts at the intersection of 59th Street and Eighth Avenue, walks 3 blocks east to 59th Street and Fifth Avenue, and then 25 blocks south to the Empire State Building at the Corner of 34th Street and Fifth Avenue. Write his displacement vector in rectangular notation with units of "blocks." Orient the axes so positive y is to the north, and positive x is to the east. (b) A stockbroker named Andrea makes the same trip in a cab that gets lost, and detours 50 blocks south to Washington Square before reorienting and finally arriving at the Empire State Building. Is her displacement any different?
A= ( ) , ( ) blocks
a) A hotdog vendor named Sam is walking from the southwest corner of Central park to the Empire State Building. He starts at the intersection of 59th Street and Eighth Avenue, walks 3 blocks east to 59th Street and Fifth Avenue, and then 25 blocks south to the Empire State Building at the Corner of 34th Street and Fifth Avenue. Write his displacement vector in rectangular notation with units of "blocks." Orient the axes so positive y is to the north, and positive x is to the east. (b) A stockbroker named Andrea makes the same trip in a cab that gets lost, and detours 50 blocks south to Washington Square before reorienting and finally arriving at the Empire State Building. Is her displacement any different?
A= ( ) , ( ) blocks
Explanation / Answer
displacement of the sam is
r_x=3 blocks i
r_y=-25 blocks j
his displacement vector in rectangular notation with units of "blocks A=.(3,-25) blocks
magnitude of displacement=root(r-x^2+r_y^2)
r=25.18 blocks
angle is
theta =tan^-1(-25/3)
=-83.15 degrees east of south
b)
no
because they both started and ended at the same point their displacements will be the same.
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