1. The treasure map in the figure gives the following directionsto the buried treasure: \"Start at the old oak tree, walk due northfor 510 paces, then due east for                150paces. Dig.\" But when you arrive, you find an angry dragon justnorth of the tree. To avoid the dragon, you set off along theyellow brick road at an angle 60                ^\circeast of north. After walking 350 paces you see an opening throughthe woods.
a. Which direction should you go to reach thetreasure?
b. How far should you go to reach the treasure?
2. A supply plane needs to drop a package of food to scientistsworking on a glacier in Greenland. The plane flies 190m  abovethe glacier at a speed of 160m/s.
a. How far short of the target should it drop the package?
3. An old-fashioned single-play vinyl record rotates on aturntable at 48.0rpm. What are (a) the angular velocity in rad/s and (b) the period ofthe motion?
4. Your roommate is working on his bicycle and has the bikeupside down. He spins the 70.0cm-diameter wheel, and you notice that a pebble stuck in the treadgoes by three times every second.
a. What is the pebble's speed?
b. What is the pebble's acceleration?
