HRW - CHAPTER 4 - from Problem Supplement #1
       78. The minute hand of a wall clock measures 10 cm from the axis about which it 
           rotates to its tip.  What is the displacement vector of its tip 
           (a) from a quarter after the hour to half past, (b) in the next half hour, 
           and (c) in the next hour?

       93. The pilot of an aircraft flies due east relative to the ground in a wind blowing
           20 km/hr toward the south.  If the speed of the aircraft in the absence of wind
           is 70 km/hr, what is the speed of the aircraft relative to the ground?

       96. A transcontinental flight of 4350 km is scheduled to take 50 min longer westward
           than eastward.  The airspeed of the airplane is 966 km/hr, and the jet stream it
           will fly through is presumed to move due east.  What is the assumed speed of the
           jet stream?

       98. A woman can row a boat at 6.4 km/hr in still water.  (a) If she is crossing a 
           river where the current is 3.2 km/hr, in what direction must her boat be headed
           if she wants to reach a point directly opposite her starting point?  
           (b) If the river is 6.4 km wide, how long will she take to cross the river?
           (c) Suppose that instead of crossing the river she rows 3.2 km down the river 
           and then back to her starting point.  How long will she take?  
           (d) How long will she take to row 3.2 km up the river and then back to her 
           starting point? (e) In what direction should she head the boat if she wants to 
           cross in the shortest possible time, and what is that time?

       FISHBANE - CHAPTER 3
       14. A particle moves in such a way that its coordinates are x(t) = (A)cos(wt) and  
           y(t) = (A)sin(wt), where "w" stands for the Greek letter omega.  Calculate the
           x- and y-components of the velocity and the acceleration of the particle.
       
       28. A man in the crow's nest of a sailing ship moving through smooth seas at a 
           steady 12 km/h accidentally lets a cannonball drop from his station, which is 
           8.5 m above the deck at the top of the mainmast.  (a) Assuming that he dropped
           the ball from a position immediately adjacent to the vertical mast, where does
           the ball land with respect to the mast?  (b) How long does it take for the ball
           to fall to the deck?  (c) In the time it takes the ball to fall, what is the 
           magnitude of the displacement of the ball as measured by the fixed observer?

       60. An airplane is to fly due north from New Orleans to St. Louis, a distance of 
           673 mi.  On that day and at the altitude of the flight, a wind blows from the 
           west at a steady speed of 65 mi/h.  The airplane can maintain an air speed of 
           180 mi/h.  Ignore the periods of takeoff and landing.  (a) In what direction 
           must the airplane fly in order to arrive at St. Louis without changing 
           direction?  Draw a diagram and label this direction with an angle.  Would this 
           calculation change if the distance between the cities were twice as great?  
           (b) What is the flying time for this flight? (c) Recalculate the flying time if
           the arplane heads due north until it reaches the latitude of St. Louis, and 
           then flies due west, into the wind to reach the city.

       SERWAY - CHAPTER 3 
       62. After delivering his toys in the usual manner, Santa decides to have some fun 
           and slide down an icy roof.  The roof is 8 m in length and makes an angle of 
           37 degrees with the horizontal.  He starts from rest at the top of the roof and
           accelerates at the rate of 5 m/s^2.  The edge of the roof is 6 m above a soft 
           snowbank, on which Santa lands.  Find (a) Santa's velocity components when he 
           reaches the snowbank, (b) the total time he is in motion, and (c) the horizontal
           distance d between the house and the point where he lands in the snow.