Automobiles are fitted with a device that shows the distance travelled. such a device is known as an odometer. a car is driven from bhubaneshwar to new delhi. the difference between the final reading and the initial reading of the odometer is 1850 km. • find the magnitude of the displacement between bhubaneshwar and new delhi by using the road map of india.
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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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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.
I hope the answer was helpful to you If it was please mark it as brainlist ❤️
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