University physics 1: vectors

1. [-/20 Points] DETAILS SERPSE10 3.A.OP.022. (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 mph direction . 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? . south of east (c) What would be the speed (in mph) of the plane relative to the ground in this case? mph Need Help? Read It 2. [-/20 Points] DETAILS SERPSE10 3.A.OP.025. A rectangle with sides parallel to the coordinate axes is shown in the figure. Vector A goes from the origin to the upper left corner of the rectangle, and vector B goes from the origin to the lower right corner. A = 8.00 m at 50.09 from the +x-axis, and B = 12.0 m at 30.0 from the +x-axis. (a) Calculate the rectangle's perimeter (In m). m (b) What are the magnitude (in m) and direction (in degrees counterclockwise from the +x-axis) of a vector from the origin to rectangle's upper right comer? m at counterclockwise from the +x-axis