Convert 15000 ounces to tons

We want to get the resultant velocity and direction of an airplane given that we know the velocity of the airplane and the velocity of the wind.

We will get that the velocity is 70.7 mph and the direction is 85.8° north of east.

First, let's define north as the positive y-axis and east as the positive x-axis.

The airplane flies due north at 100mph, then the velocity of the airplane alone is:

V = (0mph, 100 mph)

The wind's velocity has a magnitude of 30mph at 80° south from east (or an angle of -80° in a general coordinate axis) then the components are:

• x-component = 30mph*cos(-80°) = 5.2 mph
• y-component = 30mph*sin(-80°) = -29.5 mph

Then the vector is:

V' = (5.2mph, -29.5 mph)

The resultant velocity is just the sum of these two vectors, so we have:

resultant velocity = (0mph, 100 mph) + (5.2mph, -29.5 mph)

                              = (5.2 mph, 70.5 mph)

The magnitude is:

M = √( (5.2 mph)^2 + ( 70.5 mph)^2) = 70.7 mph

And the direction is given by:

θ = Atan(70.5 mph/5.2 mph) =  85.8°

Meaning that the direction is 85.8° north of east.

If you want to learn more, you can read:

brainly.com/question/1886551

Answer:

velocity of the airiplaine is 104 m/s ( 73 degrees N of W)

Step-by-step explanation:

Answer:

5 times

Step-by-step explanation:

Since it is 2.75 dollars per ride if you multiply 2.75 times 5 you get $13.75 and you cant add anymore.