University physics 1: vectors

[0/20 Points] DETAILS PREVIOUS ANSWERS SERPSE10 3.A.OP.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) A plane is initially flying at a speed of 340 mph east, when it runs into a stormy area where the wind blows at 80 mph in the direction 30.0 north of east. Calculate the new speed (in mph) and direction (in degrees north of east) of the plane relative to the ground. (Enter your answer accurate to at least one decimal place.) speed 421.21 X Draw a sketch of the velocity vectors of the plane and the wind, and write each in unit-vector notation. The new velocity of the plane is the sum of these. The magnitude of the velocity is the speed. mph direction 5.45 X The direction can be found by taking the inverse tangent of the ratio of the components of the plane's new velocity vector. . north of east (b) What If? In what direction (in degrees south of east) should the plane aim to move so that its net speed is eastward despite the wind? 6.6 X Draw a vector diagram of the situation, with the resultant velocity vector due east. Write the vector components of the plane's speed in terms of the unknown angle, and the vector components of the wind speed. Note that the north-south components of the two velocities must sum to zero. . south of east (c) What would be the speed (in mph) of the plane relative to the ground in this case? 416.96 X The speed of the plane relative to the ground is the sum of the east components of the plane's speed and the wind's speed, mph Need Help? Read It