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Unit 3 Quiz#2

Equations:

 

1. Rosa Bote is navigating the Mississippi. Her boat can travel straight across the river with a velocity of 8.0 m/sec, East. On Tuesday, the river current was 3.0 m/sec, South.

  1. Use the Pythagorean theorem to determine the resultant velocity (both magnitude and direction) of the boat? PSYW
  2. If the river is 120 meters wide, then how much time did it take Rosa to cross the river? PSYW
  3. How far downstream will Rosa Bote be when she reaches the other side? PSYW
  4. How much time will it take the boat to go shore to shore on Wednesday if the current velocity is 1.5 m/s, South? Support your answer with a calculation or explanation.


Useful Web Links

Vectors and Direction (11 seconds)

Vector Addition (20 seconds)

Resultants (6 seconds)

Independence of Perpendicular Components of Motion (12 seconds)

 

 

2. An airplane leaves O'Hare and flies with an average velocity of 500 km/hr, 120-degrees towards a Canadian destination (see diagram at the right). Use trigonometric methods to determine the northward and westward components of the velocity vector. Show your work in the space provided.

vnorth =_____________

vwest = _____________

Show Calculations Here:

 

 

If the Canadian border is 1500 km due North of O'Hare, then how much time will elapse before the plane flies over the Canadian border? Show a clear calculation.


Useful Web Links

Vector Components (15 seconds)

Vector Resolution (7 seconds)

Independence of Perpendicular Components of Motion (12 seconds)

 

3. On the diagrams below, draw arrows to represent the forces which act upon the football before it reaches the peak, at the peak, and after it reaches the peak. Assume the football is a "projectile" that is moving through the air from left to right. Label the force(s) according to type.

 

 


Useful Web Links

What is a Projectile? (11 seconds)

Characteristics of a Projectile's Trajectory (12 seconds)

 

 

4. The trajectory (path) of a projectile is _____________________.


Useful Web Links

Characteristics of a Projectile's Trajectory (12 seconds)

 

 

5. Li Ping Phar, the famous Chinese ski jumper, leaves the ramp with an initial velocity of 34.9 m/s at an angle of 35 degrees. Assume that the skier lands at the same height as the top of the ramp and that the skier is a projectile. Use trigonometric functions, kinematic equations, and an understanding of projectile motion to answer the following questions.

 

  1. Determine the horizontal and vertical components of the initial velocity.

    vx= __________
    vy= __________

     

  2. Fill in the blanks in the table at the right, thus showing how the horizontal and vertical velocity changes with time.

     

  3. At what time is Li Ping Phar at the peak of her trajectory? Explain.

 


Useful Web Links

Horizontal and Vertical Components of Velocity (11 seconds)

Horizontal and Vertical Components of Displacement (13 seconds)

Initial Velocity Components (15 seconds)

Non-Horizontally Launched Projectiles - Problem-Solving (7 seconds)

 

 

6. The diagram at the right depict the trajectory of a projectile; the position of the projectile after each consecutive second is shown. The arrows depict the horizontal and vertical components of the velocity. Use your understanding of projectiles to fill in the blanks in the diagram.


Useful Web Links

Horizontal and Vertical Components of Velocity (11 seconds)

 

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Special thanks to lab assistant Carl Bobis for his assistance in converting quiz to HTML format.

© Tom Henderson, 1996-1999


Glenbrook South High School.

Last updated on 10/18/99.