Physics, asked by pinkynayasa, 19 days ago

A particle starts from origin, moves along x-axis to a point (8 m, 0) and then returns along the same line to another point (-12 m, 0). The ratio of magnitude of displacement to the distance travelled by the particle during the round trip is

Answers

Answered by amitnrw
0

Given : A particle starts from origin, moves along x-axis to a point (8 m, 0) and then returns along the same line to another point (–12 m, 0).

To Find : The ratio of magnitude of displacement to the distance travelled by the particle during the round trip is

Solution:

Displacement = Final Position - Initial Position

Initial Position = (0, 0)  origin

Final Position = ( -12m , 0)    

Displacement =  -12m  - 0   =  -12m

Magnitude of Displacement = | -12m |

= 12m    ( assuming m is + ve)

Distance =   | 8m - 0  |  + | -12m - 8m  |    = | 8m| + | -20m |

= 8m + 20m

= 28m

The ratio of magnitude of displacement to the distance travelled by the particle during the round trip  = 12m/28m

= 3/7

3/7 is the required answer

Note : Assuming m as -ve will not change the result just  the final ratio will be - 12m / (-28 m )  =  3/7   ( as magnitudes are always non negatives)

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