1. An airplane is flying towards a radar station at a constant height of 6 km above the
1. An airplane is flying towards a radar station at a constant height of 6 km above the
ground. If the distance s between the airplane and the radar station is decreasing at a
ground. If the distance s between the airplane and the radar station is decreasing at a
rate of 400 km per hour when s=10 km., what is the horizontal speed of the plane?
rate of 400 km per hour when s=10 km., what is the horizontal speed of the plane?
Make sure your answer includes units.
Make sure your answer includes units.

2. A boat is being pulled into a dock by a rope attached to it and passing through a
2. A boat is being pulled into a dock by a rope attached to it and passing through a
pulley on the deck, positioned 6 meters higher than the boat.
If the rope is being
pulley on the deck, positioned 6 meters higher than the boat.
If the rope is being
pulled in at a rate of 3 meters/sec, how fast is the boat approaching the dock when it is