Distinguish between distance and displacement. A …

Distinguish between distance and displacement. A farmer moves along the boundary of a square field of side 10 m in 40 sec. What will be the magnitude of displacement and distance of the farmer at the end of 2 minutes 20 seconds from its initial position?

Posted by #Ķáŕáń J@@Ť? 5 years, 8 months ago

CBSE > Class 09 > Science

3 answers

Shani Baishwade 5 years, 8 months ago

Wrong

0Thank You

Gaurav Seth 5 years, 8 months ago

Total distance 40m in 40 sec.
Total time taken by the farmer = 2 min 20 sec. =140 seconds.
Total rounds completed= 140/40=3.5 rounds
That means if the farmer starts from point A of the square field, he reaches point C.
Therefore, displacement is AC.
Assume ABC is a right angled triangle.
Therefore,
AC^{2}= AB^{2} +BC<font style="margin: 0px; padding: 0px; box-sizing: inherit; color: rgba(0, 0, 0, 0.54); font-family: Roboto, "Helvetica Neue", sans-serif; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); text-decoration-style: initial; text-decoration-color: initial;">²
AC^{2}= (10)^{2} +(10)<font style="margin: 0px; padding: 0px; box-sizing: inherit; color: rgba(0, 0, 0, 0.54); font-family: Roboto, "Helvetica Neue", sans-serif; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); text-decoration-style: initial; text-decoration-color: initial;">²
AC^{2}= 100+100
AC^{2}=200

AC = (200)<font style="margin: 0px; padding: 0px; box-sizing: inherit; color: rgba(0, 0, 0, 0.54); font-family: Roboto, "Helvetica Neue", sans-serif; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); text-decoration-style: initial; text-decoration-color: initial;">^1/2

AC= 10× (2) ^{½ }