A man travels distance of 1.5m toward east ,then 2.0m towards south and finally 4.5m toward east in 4s . calculate the (a) total distance travel and (b) the final displacement
Answers
= 8 m
FINAL DISPLACEMENT WILL BE =
We can directly make a diagram for 6 m east and 2 m south, the resultant will be same.
Final Displacement = √ ( 6 square + 2 square )
= √ ( 36 + 4 )
= √40 m
ANSWER = (a) 8 m
(b) √40 m
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Answer:
(a) Total distance travel is 8m.
(b) final displacement is 6.3245 m
Explanation:
(a) Total distance travel by the man = distance travels in the east direction + distance travels towards the south direction + distance travels in the east direction again
= 1.5 m + 2 m + 4.5 m
= 8m
(b) Let the starting point of that person be A.
He travels towards east from A to point B , then towards south from B to point C and finally from point C to to point D towards east.
To calculate total displacement, we can consider total distance travels towards east together.
Hence Total displacement toward east from point A to B = 1.5 + 4.5 = 6 m
total displacement toward south from B to C = 2m
If we draw a right angle triangle ABC with AB = 6 m and BC = 2m, then the final displacement will be represented by the hypotenuse (AC) of the triangle ABC.
AC = sq. root of ( 6 square + 2 square)
= square root of(36+4)
= 6.3245 m
So the final displacement is 6.3245 m