A jet moving at 500 km/h due east moves into a region where the wind is blowing at 120 km/h in a direction 30 degrees north of eat. What is the new velocity and the direction of the aircraft relative to the ground?

I am completely lost on this question...

  1. 👍
  2. 👎
  3. 👁
  1. You have two velocity vectors that you want to add. For this case, you might want to think of the x axis as the east/west line and the y axis as the north/south line. The jet is moving at 500 km/h due east. There is no y component, just the x component which is 500km/h. The wind is said to be blowing at 120 km/h IN a direction of 30 degrees north of east. In this scenario, that would be 30 degrees off the x axis. What is the x and y component of the wind? Calculate that and then add the x components. Recall that there was no y component to the jet. After you get the x and y components of the resultant vector, calculate the magnitude and direction. (x^2 + y^2 = r^2 and tan (theta) = y/x ) of the resultant vector of the jet relative to the ground.

    1. 👍
    2. 👎
  2. 606.9

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    An aeroplane's compass indicates that it is headed due to North, and it airspeed indicator shows that is moving through the air at 24 0 km/h. If there is a 100 km/h wind from west to east. In what direction should the pilot head

  2. College Physics

    A truck moving north at a speed of 70 km/h. The exhaust pipe on top sends out a trail of smoke that makes a 20 degree angle east of south. If the wind is blowing toward the east. What is the wind speed at that location?

  3. physics

    The pilot of an airplane wishes to fly due north, but there is a 71 km/h wind blowing toward the east. (a) In what direction should the pilot head her plane if its speed relative to the air is 314 km/h? ° west of north Should the

  4. physics

    A ship leaves its home port expecting to travel to a port 500.0 km due south. Before it moves even 1 km, a servere storm blows it 100.0 km due east. Hom far is the ship from its destination? In what direction must it travel to

  1. physics

    A jet airliner moving initially at 300 mi/h due east enters a region where the wind is blowing at 100 mi/h in a direction 26.0° north of east. What is the new velocity of the aircraft relative to the ground? in m/h at degrees

  2. algebra 2

    With the wind, a jet can fly 2500 km in 2 hours and 30 minutes. Against the wind, it can fly only 2000 km in the same time. Find the rate of the jet if the rate of the jet if the rate of the wind is 100 km/hr. Please Show All

  3. Physics

    Two motorcycles are traveling due east with different velocities. However, four seconds later, they have the same velocity. During this four-second interval, cycle A has an average acceleration of 1.8 m/s2 due east, while cycle B

  4. Physics

    A plane flies due north (90° from east) with a velocity of 100 km/h for 3 hours. During this time, a steady wind blows southeast at 30 km/h at an angle of 315° from due east. After 3 hours, where will the plane’s position be

  1. physics

    A jet makes a landing traveling due east with a speed of 100 m/s. If the jet comes to rest in 15.0 s, what is the magnitude and direction of its average acceleration? due west or due east? How can I solve this question? You don't

  2. Ohysics

    An airplane flying at 120km/h due west moves into a region where the wind is blowing at 40km/h due east. If the plane's original vecotr velocity is Vplane, what is the expression for the plane's resulting velocity in terms of

  3. physics

    A train moving at a constant speed of 68.0 km/h moves east for 33.0 min, then in a direction 40.0° east of due north for 30.0 min, and then west for 59.0 min. What is the average velocity of the train during this run? Magnitude

  4. Physics

    The air speed indicator of a plane that took off from Detroit reads 373 km/h and the compass indicates that it is heading due east to Boston. A steady wind is blowing due north at 42.3 km/h. Calculate the speed of the plane with

You can view more similar questions or ask a new question.