Interactive practice questions
A plane is flying north at $480$480 km/h. A wind is blowing east at $140$140 km/h.
Find the magnitude of the resultant velocity, $v$v.
If the plane was travelling twice as fast, which of the following would be true?
The resultant velocity would be doubled.
The resultant velocity would be more than doubled.
The resultant velocity would be less than doubled.
If the plane was travelling twice as fast and the wind was blowing twice as hard, which of the following would be true?
The resultant velocity would be less than doubled.
The resultant velocity would be more than doubled.
The resultant velocity would be doubled.
Kenneth wants to fly his plane due north at $410$410 km/h relative to the ground. If a $80$80 km/h wind is blowing from the north-west, what velocity in the air should he fly his plane?
Give your answer in terms of the unit vectors $i$i and $j$j, where north corresponds to the positive $y$y direction.