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A pilot is flying from DFW to NYC. The air traffic controller directs him to fly 69° Northeast at 243 m/s. What is the y component of his velocity?

1 Answer

2 votes

Answer:


v_(y) = 227 m/s

Step-by-step explanation:

Assumptions: 0° is true North, and 90° is east (along the x-axis).

To solve this problem we must use the expression:


v_(y) = v_(0)sin(\theta)

Where
v_(y) is the velocity in the y-direction (East),
v_(0) is the total velocity in the direction which the aircraft is travelling, and
\theta is the direction the aircraft is travelling (angle from the y-axis).

Using the equation above, we obtain the y-component of velocity


v_(y) = (243)sin(69) = 226.86... m/s which is rounded to 227 m/s (due to the number of significant figures in the question).

User BernardoLima
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