Q1. A spelunker is surveying a care. He follows the passage 100 meters straight east, then 50 meters on a direction 30 degree west of north, then 150 meters at 45 degree west south. After a fourth unknown displacement he finds himself back where he started. Determine the magnitude and direction of the fourth displacement.

Q2. A 3 kg object id released from rest at a height of a 5 meter curved frictionless ramp. At the foot of the ramp is a spring force constant of k= 400n/m the object slides down the ramp and onto the spring compressing it to the distance x before coming momentarily at rest. What is x?