Practice Test 1

Choose the best answer

  1. 2 cm means
    1. 2e-2 m
    2. 2e-3 m
    3. 2e2 m
    4. 2e-1 m
    Answer: A

  2. Which of the following is a derived unit?
    1. unit of density
    2. unit of mass
    3. unit of time
    4. unit of current
    Answer: A

  3. How many significant digits are there in the
    significant figure 0.00005643
    1. 1
    2. 9
    3. 8
    4. 4
    Answer: D

  4. The number of significant digits in the
    significant figures 0.00200, 10.0, and 400
    respectively are
    1. 1, 1 and 1
    2. 3, 3, and 1
    3. 1, 3, and 1
    4. 3, 2, and 3
    Answer: B

  5. The sum of the significant figures 56, 2.15, and 0.5643
    gives the significant figure
    1. 58
    2. 58.7143
    3. 58.7
    4. 59
    Answer: D

  6. Express 453.5 in standard notation
    1. 4.535e2
    2. 4.535e3
    3. 4.535e-3
    4. 4.535e-2
    Answer: A

  7. Approximate the order of magnitude of the
    following product: 346 * 8 * 5632 * 25 * 3 * 980
    1. 1145819136000
    2. 1e13
    3. 1e9
    4. 1e10
    5. 1e11
    Answer: E

  8. 7.2 km ⁄ hr is equal to
    1. 2592 m ⁄ s
    2. 2000 m ⁄ s
    3. 25.92 m ⁄ s
    4. 2 m ⁄ s
    5. 7200 m ⁄ s
    Answer: D

  9. 9 g ⁄ cm 3 is equal to
    1. 0.009 kg ⁄ m 3
    2. 900 kg ⁄ m 3
    3. 90,000 kg ⁄ m 3
    4. 9000 kg ⁄ m 3
    5. 0.09 kg ⁄ m 3
    Answer: D

  10. The polar coordinates of a certain point are ( r, θ ) = ( 32 m, 30 deg ).
    Calculate its cartesian coordinates ( x, y ).
    1. (27.713 m, 16 m )
    2. (33.255 m, 22.4 m )
    3. (24.942 m, 16 m )
    4. (27.713 m, 12.8 m )
    5. (33.255 m, 17.6 m )
    Answer: A

  11. A physical quantity used to specify the location
    of a particle is called
    1. distance
    2. acceleration
    3. velocity
    4. position
    5. displacement
    Answer: D

  12. Consider the number line shown. Each unit is 1 cm.

    Assuming the reference point is fixed at point F,
    obtain the positions of points A, F, and H respectively.
    1. 0 cm, 5 cm, and 7 cm
    2. 0 cm, -5 cm, and -7 cm
    3. 5 cm, 0 cm, and 2 cm
    4. -5 cm, 0 cm, and 2 cm
    5. 5 cm, 0 cm, and -2 cm
    Answer: D

  13. Calculate the average velocity of a particle displaced from the point x = -10 cm to to the point
    x = -7 cm in 8 seconds.
    1. 0.375 cm ⁄ s
    2. -2.125 cm ⁄ s
    3. 2.595 cm ⁄ s
    4. 0.463 cm ⁄ s
    5. 3 cm ⁄ s
    Answer: A

  14. The following is the graph of position versus time for a certain particle.



    Calculate the average velocity between the third and the ninth seconds.
    1. -0.75 m ⁄ s
    2. 1.333 m ⁄ s
    3. 0.75 m ⁄ s
    4. -1.333 m ⁄ s
    5. -0.333 m ⁄ s
    Answer: D

  15. The following is the graph of position versus time for a certain particle.



    Calculate the instantaneous velocity after 12 seconds.
    1. 3 m ⁄ s
    2. 0 m ⁄ s
    3. 1 m ⁄ s
    4. -2 m ⁄ s
    5. 2 m ⁄ s
    Answer: C

  16. The following is the graph of velocity versus time for a certain particle.



    Calculate its average acceleration between the 4 th and 14 th seconds.
    1. -0.3 m ⁄ s 2
    2. -0.5 m ⁄ s 2
    3. 0.3 m ⁄ s 2
    4. 0.4 m ⁄ s 2
    5. 0.5 m ⁄ s 2
    Answer: D

  17. For a uniformly accelerated motion average and
    instantaneous acceleration
    1. may be the same or different
    2. are always different
    3. are always the same
    4. are negatives of eachother
    5. are reciprocals of of each other
    Answer: C

  18. A particle, starting from a speed of 1.2 m ⁄ s, was accelerated with
    a uniform acceleration for 7 seconds. If it was displaced by 46 m during
    this time interval, calculate its acceleration.
    1. 10.743 m ⁄ s 2
    2. 1.535 m ⁄ s 2
    3. 2.22 m ⁄ s 2
    4. 0.384 m ⁄ s 2
    5. 1.829 m ⁄ s 2
    Answer: B

  19. The speed of a particle changed from 21 m ⁄ s to 51 m ⁄ s in 5 seconds
    with a uniform acceleration. Calculate the acceleration
    and the distance travelled respectively.
    1. 12 m ⁄ s 2, 360 m
    2. 14.4 m ⁄ s 2, 180 m
    3. 14.4 m ⁄ s 2, 75 m
    4. 6 m ⁄ s 2, 180 m
    5. 6 m ⁄ s 2, 75 m
    Answer: D

  20. A particle, starting from a speed of 100 m ⁄ s, accelerated for
    27 seconds with a uniform acceleration of 6 m ⁄ s 2. The distance
    travelled and its final speed respectively are
    1. 4887 m and 262 m ⁄ s
    2. 7074 m and 262 m ⁄ s
    3. 7074 m and 4474 m ⁄ s
    4. 2781 m and 181 m ⁄ s
    5. 4887 m and 4474 m ⁄ s
    Answer: A

  21. An object released from a certain height took 18 seconds
    to heat the ground. The height and its velocity just before
    it hits respectively are
    1. 1587.6 m and -88.2 m ⁄ s
    2. 88.2 m and -176.4 m ⁄ s
    3. 3175.2 m and -352.8 m ⁄ s
    4. 88.2 m and -88.2 m ⁄ s
    5. 1587.6 m and -176.4 m ⁄ s
    Answer: E

  22. The default angle (angle measured with respect to the positive x-axis) for
    the vector A = 8 m 10 deg south of east is
    1. 10 deg
    2. 170 deg
    3. 80 deg
    4. -10 deg
    5. 100 deg
    Answer: D

  23. If the vector A = 100 m ⁄ s north, using the scale 1 cm for 40 m ⁄ s, the vector -2A can be
    graphically represented by an arrow of length _________ and default angle
    (angle measured with respect to the positive x-axis) ___________.
    1. 10 cm, -90 deg
    2. 10 cm, 90 deg
    3. 5 cm, -90 deg
    4. 5 cm, 90 deg
    5. 0.2 cm, 180 deg
    Answer: C

  24. Determine the x and y components of the vector
    A = 770 m 50 deg east of south.
    1. ( 589.854 m, -334.725 m )
    2. ( 150.198 m, -494.946 m )
    3. ( 150.198 m, -334.725 m )
    4. ( 973.573 m, -635.248 m )
    5. ( 589.854 m, -494.946 m )
    Answer: E

  25. Calculate the magnitude of a vector whose x and
    y components are -4 m and 7 m respectively.
    1. 11 m
    2. 4.796 m
    3. 8.062 m
    4. 3.317 m
    5. 65 m
    Answer: C

  26. Given the vectors A = 50 m 10 deg
    north of east and B = 20 m 40 deg north of east,
    find the x and y components of their sum vector A + B.
    1. ( 73.449 m, 16.579 m )
    2. ( 121.404 m, 12.733 m )
    3. ( 121.404 m, 21.538 m )
    4. ( 64.561 m, 21.538 m )
    5. ( 64.561 m, 12.733 m )
    Answer: D

  27. Which of the following statements is not correct.
    1. The numerical value of gravitation acceleration
      is 9.8 m ⁄ s 2
    2. Average acceleration is change in displacement
      per a unit time.
    3. The unit of measurement for acceleration is m ⁄ s 2.
    4. Gravtational acceleration is negative.
    5. A uniformly accelerated motion is motion with
      constant acceleration.
    Answer: B

  28. A particle is displaced from the point ( -2 m, -20 m ) to the point ( -7 m, -30 m ) in 10 seconds.
    Calculate the horizontal component of its average velocity.
    1. -0.9 m ⁄ s
    2. -0.5 m ⁄ s
    3. 0.6 m ⁄ s
    4. 0.5 m ⁄ s
    5. -0.6 m ⁄ s
    Answer: B

  29. A bullet is fired horizontally from a 80 m
    tall building with a speed of 1200 m ⁄ s.
    How long will it take to hit the ground?
    1. 5.029 s
    2. 4.041 s
    3. 2.949 s
    4. 6.122 s
    5. 2.445 s
    Answer: B

  30. A bullet is fired from the ground making an angle of 70 deg
    with the horizontal with a speed of 1400 m ⁄ s.
    Calculate the maximum height reached?
    1. 88302.222 m
    2. 9122.107 m
    3. 143230.371 m
    4. 71332.146 m
    5. 109532.479 m
    Answer: A