Kinematics Problem Set I

1. A boat moves with a constant velocity of  6 m/s.  It needs to cross a river that is 500 m wide, and has a current that moves at 10 m/s.  
   a.    How long will it take for the boat to cross the river?
   b.    How far downstream will the boat be pushed by the time it reaches the opposite shore?
   c.    What is the resultant velocity of the boat?
2. A 25kg ball is dropped from a height of 250m.
   a.    How long will it take for the ball to hit the ground?
3. Don Dokken is driving his VW Eurovan at 50 m/s, and accelerates uniformly for 25s at a rate of 10 m/s/s.
   a.    What is Don Dokken's final velocity?
   b.    How far did Don Dokken travel while undergoing uniform acceleration?
4. I ran 1.5 km in 25 min.
   a.    If I started from rest, what was my average velocity?
5. A fish is thrown through space for 6 million miles.
   a.    If the fish thrower has a velocity of 5000 m/s when it throws the fish, how far will the fish have traveled?
6. The Jamaican bobsled team enters the final 200 m portion a course with a velocity of 30 m/s.  
   a.   What rate of acceleration would  the team need to leave the course at 40 m/s?