I have a question
An airplane is flying at 120km/h due west moves into a region where the wind is blowing at 40km/h. If the planes original velocity is Vplane, what is the expression for the plane's resulting velocity in terms of V plane?
Answers are given 1/3 greater than Vplane
2/3 greater than Vplane
1 v Plane
80Vplane
I think it is 80vplane because you have to subtract the two velocitiesbit a friend of mine doing the same problem said it was 2/3 greater than vplane-I don't think is correct
It depends on which way the wind is blowing. If it is blowing East, the Vplane is 80, or 2/3 V
If the wind is blowing with the plane, the resultane velocity is 160, or 1/3 greater than Vp
So is the answer ever 2/3 greater than V plane or just 2/3 V-
Forgot to say the wind is due east while the plane is traveling due west
To determine the plane's resulting velocity, you need to consider the vector addition of the plane's velocity relative to the ground (V_plane) and the velocity of the wind (V_wind).
Since the plane is flying due west, its velocity relative to the ground is in the west direction with a magnitude of 120 km/h. Let's write this velocity as V_plane = 120 km/h west.
The wind is blowing at a velocity of 40 km/h, which we will assume is in the east direction. Let's write this velocity as V_wind = 40 km/h east.
To find the resulting velocity, you need to add these two velocities as vectors. Since the plane's velocity is west and the wind's velocity is east, you subtract the wind's velocity from the plane's velocity: V_result = V_plane - V_wind.
Substituting the given values, V_result = (120 km/h west) - (40 km/h east).
When subtracting these two vectors, you need to consider the direction as well. In this case, "west" and "east" are opposite directions, so you can subtract the magnitudes and keep the direction of the larger velocity.
Subtracting the magnitudes, we get V_result = 120 km/h - 40 km/h = 80 km/h.
Since the plane's original velocity is V_plane, the expression for the plane's resulting velocity (V_result) in terms of V_plane is V_result = 80V_plane.
Therefore, the correct answer is 80V_plane.