An airplane flying at 120km/h due west moves into a region where the wind is blowing at 40km/h due east. If the plane's original vecotr velocity is Vplane, what is the expression for the plane's resulting velocity in terms of Vplane.
a. 1/3 >Vplane
b. 2/3>Vplane
c.1 Vplane
d. 80Vplane
Please explain how to find this- I thought I took 120-40 = 80 but D doesn't seem like the right answer
Thanks
This should say Physics-Typo error
it seems to me if V is 120, and the new velocity is 80, then 80/120 V is the expression, or resulting velocity=2/3 V
Your choice of answers are nonsense. Ask your teacher what they mean. I hope this is not a college course.
To solve this problem, we need to consider the vector addition of the plane's velocity and the wind's velocity.
The plane's velocity Vplane is given as 120 km/h due west. This means the plane is moving at 120 km/h directly opposite to the east direction.
The wind's velocity is given as 40 km/h due east. This means the wind is blowing at 40 km/h in the east direction.
To find the resulting velocity of the plane, we need to find the vector sum of the plane's velocity and the wind's velocity. Since the plane is moving in the opposite direction to the wind, we subtract the wind's velocity from the plane's velocity.
Vresult = Vplane - Vwind
Vresult = 120 km/h (opposite to the east direction) - 40 km/h (east direction)
Vresult = 120 km/h - 40 km/h = 80 km/h (opposite to the east direction)
Therefore, the expression for the plane's resulting velocity in terms of Vplane is 80Vplane. The correct answer is option (d).
To find the resulting velocity of the plane, we need to consider the effect of the wind on the plane's original velocity. Since the plane is flying due west at 120 km/h (let's call this Vplane), and the wind is blowing due east at 40 km/h, the wind acts against the plane's motion.
To find the resulting velocity, we can use vector addition. When adding vectors, we need to consider both their magnitudes (speeds) and directions. The original velocity of the plane (Vplane) is in the west direction, and the wind velocity (40 km/h) is in the opposite (east) direction.
To find the resulting velocity, we subtract the wind velocity from the plane's velocity since they are in opposite directions. So, the expression for the resulting velocity (Vresult) is:
Vresult = Vplane - wind velocity
Vresult = Vplane - 40 km/h
Plugging in the given value for Vplane (120 km/h), we get:
Vresult = 120 km/h - 40 km/h
Vresult = 80 km/h
Therefore, the correct answer is d. 80Vplane.