A plane can travel with a speed of 80 mi/hr with the respect of the air. Determine the resultant velocity of the plane (magnitude only) if it encounters a 10 mi/hr tailwind
The treadmill he is riding is going his way at 10 mi/hr. He is going another 80 on the treadmill. Therefore his total speed is 80+10 = 90
If it had been a headwind, it would have been 80 - 10 and he would have been late for coffee.
To determine the resultant velocity (magnitude only) of the plane, we need to consider the effect of the tailwind on the plane's speed.
The plane's speed with respect to the air is given as 80 mi/hr. This means that when there is no wind (no tailwind or headwind), the plane can travel at a speed of 80 mi/hr.
However, in this case, there is a 10 mi/hr tailwind. A tailwind is a wind blowing in the same direction as the plane is flying. The tailwind will increase the overall speed of the plane.
To find the resultant velocity, we need to add the speed of the tailwind to the speed of the plane:
Resultant velocity = Speed of the plane + Speed of the tailwind
In this case, the speed of the plane is 80 mi/hr, and the speed of the tailwind is 10 mi/hr.
Adding the speeds together:
Resultant velocity = 80 mi/hr + 10 mi/hr
Resultant velocity = 90 mi/hr
Therefore, the resultant velocity (magnitude only) of the plane when it encounters a 10 mi/hr tailwind is 90 mi/hr.