An airplane whose airspeed is 295 km/h flies parallel to the direction of a wind with a speed of 40.0 km/h.
What are the two possible speeds of the plane relative to the ground?
Well, the plane must be feeling quite windswept! Let's solve this puzzle, shall we?
When the plane flies in the same direction as the wind, it adds the wind's speed to its own speed. And when it flies against the wind, it subtracts the wind's speed from its own speed.
So, if the plane is flying parallel to the wind, there are two possible scenarios:
1. Flying with the wind: In this case, the plane's speed relative to the ground would be the sum of its airspeed and the wind's speed. So, 295 km/h + 40.0 km/h = 335 km/h.
2. Flying against the wind: Here, the plane's speed relative to the ground would be the difference between its airspeed and the wind's speed. So, 295 km/h - 40.0 km/h = 255 km/h.
Thus, the two possible speeds of the plane relative to the ground are 335 km/h and 255 km/h.
I hope this answered your question without taking you too "airhead-y" on that windy ride!
To find the two possible speeds of the plane relative to the ground, we need to consider the effect of the wind.
1. When the airplane flies in the same direction as the wind:
In this case, the speed of the airplane relative to the ground is the difference between the airspeed of the airplane and the wind speed.
Relative speed = Airspeed - Wind speed
= 295 km/h - 40.0 km/h
= 255 km/h
2. When the airplane flies in the opposite direction of the wind:
In this case, the speed of the airplane relative to the ground is the sum of the airspeed of the airplane and the wind speed.
Relative speed = Airspeed + Wind speed
= 295 km/h + 40.0 km/h
= 335 km/h
Therefore, the two possible speeds of the plane relative to the ground are 255 km/h and 335 km/h.
To find the two possible speeds of the plane relative to the ground, we need to consider the effect of the wind on the plane's motion.
When the wind is blowing in the same direction as the plane's flight, it helps to increase the speed of the plane relative to the ground. This is known as a tailwind. On the other hand, when the wind is blowing in the opposite direction of the plane's flight, it opposes the plane's motion and decreases the speed of the plane relative to the ground. This is known as a headwind.
To find the speed of the plane relative to the ground in the presence of the wind, we can use the concept of vector addition. We can add the vectors representing the plane's airspeed and the wind speed to get the resultant velocity.
In this case, the plane's airspeed is given as 295 km/h, and the wind speed is 40.0 km/h.
To find the speed of the plane relative to the ground with a tailwind, we add the airspeed and the wind speed:
Speed of plane relative to ground (with tailwind) = airspeed + wind speed
= 295 km/h + 40.0 km/h
= 335 km/h
To find the speed of the plane relative to the ground with a headwind, we subtract the wind speed from the airspeed:
Speed of plane relative to ground (with headwind) = airspeed - wind speed
= 295 km/h - 40.0 km/h
= 255 km/h
Therefore, the two possible speeds of the plane relative to the ground are 335 km/h (with tailwind) and 255 km/h (with headwind).