Question

1. A skier is gliding along at 3.0 m/s on horizontal, frictionless snow. He suddenly starts down a 16 ∘ incline. His speed at the bottom is 16 m/s .

a) What is the length of the incline?
b) How long does it take him to reach the bottom?

2.The Gulf Stream off the east coast of the United States can flow at a rapid 3.7 m/s to the north. A ship in this current has a cruising speed of 7.0 m/s . The captain would like to reach land at a point due west from the current position.

a) In what direction with respect to the water should the ship sail?
b) At this heading, what is the ship's speed with respect to land?

3. A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 110 m above the glacier at a speed of 150 m/s. How far short of the target should it drop the package?

4. A car starts from rest at a stop sign. It accelerates at 2.0 m/s² for 6.6 seconds, coasts for 3.0 s , and then slows down at a rate of 1.5m/s² for the next stop sign. How far apart are the stop signs?

Answer 1