A plane flies a square route, with each side 1500m in length (north, west, south, then east). If there is a wind blowing from the east at 20km/h during the whole trip, find the total time it will take the plane to complee the journey, given that the plane is flying at 80km/h.
The answer is about 280s.
2007-02-25 06:39:49 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Physics
first need to convert those km/h to m/s by multiplying by 10/36.
wind=50/9m/s, plane=200/9m/s
to find the east to west and west to east ones is easy, because the going faster east and slower west would cancel out, so it would just be 3000=(200/9)t
t=135s
the other two are a little harder.
to find length, have to first find angle of two velocities then do it with the length
do arctan((50/9)/(200/9))
angle=14.04
then do 1500/cos(14.04) to get length
=1546.16
times that by 2 to get
3092.33
then do 3092.33=(200/9)t
t=139.15s
add them together to get
t=274.15s
2007-02-25 07:03:23 · answer #1 · answered by climberguy12 7 · 0⤊ 0⤋
the wind speed is not a factor since the speed of the plane is constant. Just add up the lenghts and divide by the rate.
2007-02-25 14:55:13 · answer #2 · answered by ypsi728 1 · 0⤊ 0⤋
80 km/h .. forget the wind..
4 x 1,500 = 6 km
80 km/h = 1.333 km/min
6 ÷ 1.333 = 4.5 min
2007-02-25 17:57:53 · answer #3 · answered by Norrie 7 · 0⤊ 0⤋