Question

R.
Activity:
Automobiles are fitted with a device
that shows the distance travelled such
a device is know as an odometer. A
car is driven from Bhubaneshwar to
New Delhi. The difference between the
final redding and the ini Hal reading
of the odometer is 1850 km.
find the magnitude of the displacement
between Bhubaneshwar and new Delhi
bu using the road map Of Indie​

Answer 1

Explanation:

Let point X along longitude of Delhi and Latitude of Bhubaneshwar. Then

Suppose,

Approximately Distance of X from Bhubaneshwar (from map) = x = 910 km

Approximately Distance of X from Delhi (from map) = y = 940 km

as per the formula;

(x + y)² = x² + y²+ 2xy

By pythagoras theorem:

x² + y² = z² = (displacement)²

Hence,

(x + y)² = z²  + 2xy

Then,

(Displacement)²= (x + y)² -  2xy

(displacement)² = (1850)2 - 2(910 x 940)

(displacement)² = 3422500 - 2 x 855400

(displacement)² = 3422500 - 1710800

(displacement)² = 1711700

displacement = 1308.32 km

Total displacement between Bhubneshwar to Delhi is 1308.32 km

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