Posted by michelle on Tuesday, September 27, 2011 at 11:39pm.
Just set up the vectors representing the forces (velocities, etc) acting on the plane. To add up the forces, just place each vector's base at the top of the previous vector. The final force is the vector from the base of the 1st force, to the tip of the last force.
In this case, start out at (0,0) and draw a vector pointing east of length 52. So, its tip is at (52,0)
Starting at (52,0), draw a vector pointing south of length 12. Now its tip is at (52,-12)
The resultant velocity is a vector from (0,0) to (52,-12). This is the hypotenuse of a right triangle with legs of length 52,12.
So, the final speed is 53.37 m/s.
The direction is the angle a with tan(a) = -12/52 = 13 deg south of east.
Related Questions
Physics - A cessna plane flies with a speed of 150km/h relative to the air and ...
physics - a plane heads north but because of a wind blowing to the west the ...
Physics - The compass in a plane indicates that the plane is heading due east, ...
Physics - A plane leaves Toronto and flies with an airspeed of 2.20 x 10^2 km/h ...
Precalculus - Okay I am soo confused with these two questions: The resultant of ...
physics - A wind is blowing directly from east to west. The pilot of a small ...
Physics - A plane flies at an airspeed of 242 km/h. A wind is blowing at 72 km/h...
Physics - A plane is flying 126 m/s east relative to the air. The wind is ...
Physics - A plane flies due north at 225 km/h. A wind carries it due east at 55 ...
Physics - An airplane flies due north at 160 km/h with respect to the air. There...
For Further Reading
