An airplane flies with an air speed of 260 m/s in a direction 5.0° south of west. It is in the jet stream, which is blowing at 35.0 m/s in a direction 15° south of east. What is the (a) magnitude and (b) direction of velocity of the airplane relative to the Earth?

To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 330 m/s at 46.0° above the horizontal. It explodes on the mountainside 40.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point?

A cannonball is aimed 36.9° above the horizontal and is fired with an initial speed of 180 m/s at ground level.  How far away from the cannon will the cannonball hit the ground?

A plane flies 493 km east from city A to city B in 45.0 min and then 983 km south from city B to city C in 1.30 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east). (a) Number i Units (b) Number Units (c) Number i Units (d) Number i Units (e) Number Units II