A boat travels west at 50km/h 30 minutes before heading Southeast for at 40km/h 1 hour. What was the boat’s displacement in km?

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Boat travels west for 30minutes at the speed of 50kmph, so distance travelled in west direction = 50 * 1/2 = 25 km

Then both travels southeast for 1 hour @ 40kmph, so distance travelled in southeast direction = 40 * 1 = 40 km

The displacement from its origin can be calculated using law of cosine. And angle between them is 135 degree

Therefore displacement = sqrt( 25^2 + 40^2 - 2* 25* 40 *cos(135)) = 64.94 km (approx)
by Level 7 User (27.4k points)

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