In which of the following cases of motions, the distance moved and the magnitude ofdisplacement are equal?If the car is moving on straight road b)If the car is moving in circular pathc)The pendulum is moving to and fro d)The earth is revolving around the Sun
Question
In which of the following cases of motions, the distance moved and the magnitude ofdisplacement are equal?If the car is moving on straight road b)If the car is moving in circular pathc)The pendulum is moving to and fro d)The earth is revolving around the Sun
Solution
The distance moved and the magnitude of displacement are equal when the motion is in a straight line. Therefore, among the given options, this would be the case when the car is moving on a straight road.
Here's why:
a) If the car is moving on a straight road: In this case, the distance and displacement are equal because the car is moving in a straight path. Displacement is the shortest distance between the initial and final point, and since the car is moving straight, the path covered is also the shortest.
b) If the car is moving in a circular path: In this case, the distance and displacement are not equal. The distance is the entire path covered by the car, but the displacement (being the shortest distance between the initial and final point) would be the diameter of the circle, which is shorter than the entire path.
c) The pendulum is moving to and fro: In this case, the distance and displacement are not equal. The distance is the entire path covered by the pendulum, but the displacement is zero because the initial and final points are the same.
d) The earth is revolving around the Sun: In this case, the distance and displacement are not equal. The distance is the entire path covered by the earth in one year, but the displacement is zero because the earth comes back to the same point after one year.
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