Aboeing 777 jet is flying due east at 550 mph (relative to the air). the air velocity is 80 mph in a direction 60 degrees east of north (relative to the ground). a passenger gets up from seat 23a on the north side of the airplane and walks directly across to seat 23j on the south side of the airplane at speed 3 mph (relative to the airplane). find the magnitude and direction of her velocity vector relative to the ground.

An alpha particle with kinetic energy 12.5 mev makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude l = p0 b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.40×10−12 m. (assume that the lead nucleus remains stationary and that it may be treated as a point charge. the atomic number of lead is 82. the alpha particle is a helium nucleus, with atomic number 2.) what is the distance of closest approach?