Choose the best answer

1. Which of the following is not a correct statement?
   
   1. The magnitude of the position vector of a
      particle is equal to the distance between
      the origin and the location of the particle.
      
   2. The direction of the position vector of a
      particle is equal to the angle formed
      between the line joining the origin to the
      location of the particle and the positive x axis.
      
   3. The position vector of a particle is the vector
      whose tail is at the location of the
      particle and whose head is at the origin.
      
   4. The magnitude of the position vector of a
      particle is equal to the length of the
      hypothenus of a right angled triangle whose
      base and height are equal to the x and y
      coordinates of the location of the particle respectively.
      
   5. The x component of the position vector of a
      particle is equal to the x coordinate of the
      location of the particle.
      
   Answer: C
   

2. A particle is displaced from the point ( -4 m, -100 m ) to the point ( 5 m, 10 m ).
   Calculate the vertical component of its displacement vector.
   
   1. 110 m
      
   2. -110 m
      
   3. 9 m
      
   4. -9 m
      
   5. -90 m
      
   Answer: A
   

3. A particle is displaced from the point ( 2 m, -60 m ) to the point ( 9 m, -90 m ) in 25 seconds.
   Calculate the vertical component of its average velocity.
   
   1. -1.552 m ⁄ s
      
   2. -1.798 m ⁄ s
      
   3. -0.868 m ⁄ s
      
   4. -0.735 m ⁄ s
      
   5. -1.2 m ⁄ s
      
   Answer: E
   

4. A bullet is fired horizontally from a 60 m
   tall building with a speed of 800 m ⁄ s.
   How long will it take to hit the ground?
   
   1. 5.396 s
      
   2. 3.499 s
      
   3. 4.043 s
      
   4. 4.665 s
      
   5. 1.071 s
      
   Answer: B
   

5. A bullet is fired horizontally from a 50 m tall building
   with a speed of 1400 m ⁄ s. Calculate the vertical component
   of its velocity just before it hits the ground?
   
   1. -36.827 m ⁄ s
      
   2. -18.77 m ⁄ s
      
   3. -56.349 m ⁄ s
      
   4. -3.204 m ⁄ s
      
   5. -31.305 m ⁄ s
      
   Answer: E
   

6. A bullet is fired horizontally from a 80 m
   tall building with a speed of 700 m ⁄ s.
   How far (horizontally) will it fall?
   
   1. 542.213 m
      
   2. 4864.98 m
      
   3. 2828.427 m
      
   4. 1108.85 m
      
   5. 5281.577 m
      
   Answer: C
   

7. A bullet is fired from the ground making an angle of 10 deg
   with the horizontal with a speed of 1200 m ⁄ s.
   How long it will take to reach its maximum height?
   
   1. 34.531 s
      
   2. 24.38 s
      
   3. 21.263 s
      
   4. 3.994 s
      
   5. 12.334 s
      
   Answer: C
   

8. A bullet is fired from the ground making an angle of 70 deg
   with the horizontal with a speed of 800 m ⁄ s.
   Calculate the maximum height reached?
   
   1. 15168.188 m
      
   2. 28833.379 m
      
   3. 8237.952 m
      
   4. 54757.92 m
      
   5. 31908.082 m
      
   Answer: B
   

9. A bullet is fired from the ground making an angle of 10 deg
   with the horizontal with a speed of 1100 m ⁄ s.
   How far (horizontally) will it fall?
   
   1. 73648.271 m
      
   2. 13522.013 m
      
   3. 42229.018 m
      
   4. 67342.371 m
      
   5. 49758.351 m
      
   Answer: C
   

10. A bullet is fired from a 60 m tall building with a speed of
    1300 m ⁄ s making an angle of 80 deg with the horizontal.
    Calculate the vertical component of its velocity by the time it hits the ground.
    
    1. -444.257 m ⁄ s
       
    2. -2261.112 m ⁄ s
       
    3. -1488.55 m ⁄ s
       
    4. -977.336 m ⁄ s
       
    5. -1280.709 m ⁄ s
       
    Answer: E