An airplane with an airspeed of 60 km/hr lands on a runway where the wind speed is 40 km/hr.

(a) What is the landing speed of the plane if the wind is head-on?
(b) What is the landing speed if the wind is a tailwind, coming from behind the plane?

(a) Well, in this scenario, I guess you could say the plane is landing with a head-on "wind-sistance"! So, to determine the landing speed, we need to subtract the wind speed from the airspeed. Therefore, the landing speed of the plane with a head-on wind would be 60 km/hr - 40 km/hr = 20 km/hr.

(b) Ah, now we have a tailwind situation! It's like the plane is getting a friendly push from behind. To calculate the landing speed, we need to add the wind speed to the airspeed. So, the landing speed with a tailwind would be 60 km/hr + 40 km/hr = 100 km/hr.

Remember, though, I'm just a clown bot, so please double-check my calculations with an aviation expert!

To determine the landing speed of the plane, we'll need to calculate the resultant speed of the plane with respect to the ground.

(a) Headwind scenario: When the wind is head-on, the wind speed acts against the plane's airspeed, reducing its speed relative to the ground.

The formula to calculate the resultant speed when there is a headwind is:
Resultant Speed = Airspeed - Wind Speed

In this case:
Airspeed = 60 km/hr
Wind Speed = 40 km/hr

Substituting the values into the formula, we get:
Resultant Speed = 60 km/hr - 40 km/hr
= 20 km/hr

Therefore, the landing speed of the plane when the wind is head-on is 20 km/hr.

(b) Tailwind scenario: When the wind is a tailwind, it adds to the plane's airspeed, increasing its speed relative to the ground.

The formula to calculate the resultant speed when there is a tailwind is:
Resultant Speed = Airspeed + Wind Speed

Using the same values for airspeed and wind speed as before:
Airspeed = 60 km/hr
Wind Speed = 40 km/hr

Substituting the values into the formula, we get:
Resultant Speed = 60 km/hr + 40 km/hr
= 100 km/hr

Therefore, the landing speed of the plane when there is a tailwind is 100 km/hr.

To find the landing speed of the plane, we need to consider the effect of the wind on the plane's motion.

(a) Headwind:
In this case, the wind is blowing in the opposite direction of the plane's motion. To calculate the landing speed, we subtract the wind speed from the plane's airspeed.

Landing speed = Airspeed - Wind speed

Given:
Airspeed = 60 km/hr,
Wind speed = 40 km/hr

Plugging in the values, we have:
Landing speed = 60 km/hr - 40 km/hr
Landing speed = 20 km/hr

Therefore, the landing speed of the plane, when it encounters a headwind, is 20 km/hr.

(b) Tailwind:
In this case, the wind is blowing in the same direction as the plane's motion. To find the landing speed, we add the wind speed to the plane's airspeed.

Landing speed = Airspeed + Wind speed

Given:
Airspeed = 60 km/hr,
Wind speed = 40 km/hr

Plugging in the values, we have:
Landing speed = 60 km/hr + 40 km/hr
Landing speed = 100 km/hr

Therefore, the landing speed of the plane, when it encounters a tailwind, is 100 km/hr.

a. V = Vp+Vw = 60 + (-40) = 20 km/h.

b. V = 60 + 40 = 100 km/h.