Question

A car is driven from Bhubaneswar to New Delhi. The difference between the final reading and initial reading of the odometer is 1850 km .Find the magnitude of the displacement between Bhubaneswar and New Delhi.

please give correct answer!!
with steps

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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