Question

hat is an object's displacement if: (Match each answer choice for the displacement with the proper values of the initial and final positions.)

-       A.       B.       C.       D.	xi = 15 m, xf = 52 m;
-       A.       B.       C.       D.	xi = - 15 m, xf = 52 m;
-       A.       B.       C.       D.	xi = 15 m, xf = - 52 m;
-       A.       B.       C.       D.	xi = -15 m, xf = - 52 m;

A.	∆x = 37 m
B.	∆x = - 37 m
C.	∆x = - 67 m
D.	∆x = 67 m

Answer 1

Solution :

The displacement for an object = Final Position - Initial Position

displacement for an object = x_f - x_i ....................eq(1)

where x_f is the final position and x_i is the initial position of an object

Case 1:

x_i =15 m , x_f = 52 m

for Given values of x_f and x_i , use eq(1)

displacement (Δx) = 52 - 15 = 37 m

for case 1 answer is A

Case 2:

x_i = -15 m , x_f = 52 m

For given values of x_f and x_i , use eq(1)

displacement (Δx) = 52 - (-15)

displacement (Δx) = 52 + 15= 67 m

for case 2 answer is D

Case 3:

x_i = 15 m , x_f = -52 m

For given values of x_f and x_i  , use eq(1)

displacement (Δx) = (-52 - 15)

displacement (Δx) = -67 m

for case 3 answer is C

Case 4:

x_i = -15 m, x_f = - 52 m

For given values of x_f and x_i , use eq(1)

displacement (Δx) = (-52 -(- 15))

displacement (Δx) =(-52+15) = -37 m

for case 4 answer is B