Answer to Question #110875 in Physics for che

Question #110875

A plane is in the jet stream which has a speed of 150km/hr East.
You are flying in a plane traveling at 250km/hr. Your destination is 1000km away to the North
(a) Draw this problem on a piece of paper. Label the vectors with their speed.
(b) Change each of the speeds to m/s (divide by 3.6) and change the distance to meters.
(c) Which way will you have to point the plane to reach its destination successfully -towards the west, Northwards, towards the East?
(d) Draw the vector diagram to show this
(e) What is the length of the north vector?

Expert's answer

Solution.

"\\upsilon_1 = 150 km\/hr = 41.7 m\/s;"

"\\upsilon_2 = 250 km\/hr = 69.4 m\/s;"

"\\upsilon = \\sqrt{\\upsilon_2^2 - \\upsilon_1^2};"

"\\upsilon = \\sqrt{69.4^2 - 41.7^2}= 55.57 m\/s" - the length of the north vector;