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Magazine Chapter 2: Q4PE (page 82)
Find the following for path D in Figure 2.59:
(a) The distance travelled.
(b) The magnitude of the displacement from start to finish.
(c) The displacement from start to finish.
Short Answer
a) 8 m
b) 4 m
c) -4 m
Step by step solution
Distance and displacement
The distance is the whole length of the body's journey. The meter is the unit of measurement. It's a number that represents a scalar value.
The shortest distance between the beginning and finishing points is defined as displacement. It's a quantity that's been given a vector. The length is given in meters.
The distance and displacement will be the same only if the voyage is in a straight line.
For particle D distance and displacement
Figure: Path of particle D
a. The distance travelled by the particle D is :
First, it goes from. The total distance covered is . Then the body comes back till , so it covers more distance. Now the total distance will be .
Thus, the distance covered by particle D is .
b. The magnitude of the displacement, in this case, will not be the same as the distance as it is not a straight path.
Displacement of the particle D =Final position 鈥� Initial Position
Thus, the magnitude will be 4 m.
c. The direction of the displacement would be as the body is moving in the negative x-direction.
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