There is a plane that just took off and is climbing northwest through still air at an airspeed of 200 km/hr, and rising at a ate of 300 m/min. Resolve its velocity vector into components.
First, I converted 200 m/min to 18 km/hr so all values have the same units. Then I said the velocity of the plane would =
(-) 200 cos135degrees i + 200 sin135degrees j + 18 k
= - 141.42 i + 141.42 j + 18 k
However, the correct answer is - 140.8 i + 140.8 j + 18 k
Can someone please explain where I made my mistake? Thanks very much!