Which of the following statements about distance and/or...

Which of the following statements about distance and/or displacement are TRUE? (1) Distance is a vector quantity and displacement is a scalar quantity. (2) If a person walks in a straight line and never changes direction, then the distance and the magnitude of the displacement are exactly the same. (3) The diagram below depicts the path of a person walking from position A to B back to C to and then to D. The distance traveled is 90 yds. (4) For the same diagram below, the displacement of the person walking from A to B to C to D is 50 yds. D t = 8 min B t = 3 min C t = 6 min A t = 0 min -10 0 10 20 30 40 50 Position (yds) Only statements 2 and 4 are true. Only statements 3 and 4 are true. All statements are true Only statements 2 and 3 are true. Only statements 2, 3, and 4 are true.

Transcript

0:00 Hello everyone.

00:01 Here in this question, four statements are given about distance and displacement.

00:08 So we have to say which among these are true.

00:13 First statement is about the distance which is vector and displacement is scalar.

00:19 They are saying.

00:20 But we know that distance displacement is vector quantity and distance is scalar.

00:30 Because displacement, because displacement, depends upon the direction but distance is not depends upon the direction so displacement is a vector and distance is a scalar quantity so in the first statement they said wrong so it is false first statement is false and a second statement says a force person suppose a person walks a state line and stop there the distance and the displacement are exactly same they are asking so second question is for a distance comparing with the displacement so we can say that a displacement is less than or equal to distance we know this because distance is the total path followed by the object or a person and displacement is a change in position of a object so second statement is true because a person is walking only a state line so both the distance and displacement are same and in second sorry the next statement that is third it is the distance traveled so in this one so distance traveled they are saying it is equal to 90 yards 90 yards from the diagram a is the initial position and d is the final position so distance is the total position distance traverse first it goes from a to b then c come back and to the final d so if we calculate if we count this it will be 90 yards totally it is 90 so first one it is true.

02:44 Then the next one, next statement it is saying that the displacement is equal to 50 yards.

02:54 So displacement is nothing but the change in initial position with respect to final position...

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