Question

"A pilot heads his jet due east. The jet has a speed of 475 mi/h relative to the air. The wind is blowing due north with a speed of 40 mi/h. (Assume that the i vector points east, and the j vector points northwhat is the true direction of the jet? (round your answer to one decimal place.)"

Answer 1

The true direction of the jet is 4.8 degrees north of east (rounded to one decimal place).

To determine the true direction of the jet, we need to consider the combined effect of the jet's velocity relative to the air and the wind velocity. We can use vector addition to find the resultant velocity, which will give us the true direction.

To find the true direction of the jet, we need to consider both the jet's speed relative to the air and the effect of the wind. We can represent these as vectors:

Jet's speed vector (relative to the air): 475i mi/h (due east)

Wind's speed vector: 40j mi/h (due north)

To find the jet's true velocity vector, we sum the two vectors:

True velocity vector = 475i + 40j mi/h

Now, to find the true direction, we need to calculate the angle between the true velocity vector and the positive x-axis (east). We use the arctangent function:

Angle = arctan(opposite/adjacent) = arctan(40/475)

Using a calculator, we find the angle to be approximately 4.8 degrees.
To know more about the velocity vector, click here;