Match the following moves to the correct total distance and displacement of the moves. A) Move 12 m west and then 8 m east
B) Move 9 m west and then 16 m east
C) Move 10 m east and then 12 m west
D) Move 5 m east and then 12 m east

1) Displacement is 17 m
east; distance is 17 m
2) Displacement is 2 m west; distance is 22 m
3) Displacement is 7 m east; distance is 25 m
4) Displacement is 4 m west; distance is 20 m

A=4

B=3

c=2

D=1

Explanation:

since the person moving in opposite direction so displacement =distance in east/west - distance in west/east

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initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft