UNIT REVIEW: KINEMATICS
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Students! If you have any problems with any of these questions, it is up to you to ask me for help in class. Please do not e-mail me your solutions to these review questions. The Kinematics Review answers appear in red type , below.

Topics covered on test:
  1. Basic motion (speed, displacement, velocity, distance)
  2. Displacement-time, velocity-time and acceleration-time graphs
  3. Uniform Acceleration
  4. Relative Motion
  5. Projectile Motion


Simple Motion
  1. A toy car increases in speed (uniformly) from 0.345 m/s to 0.906 m/s in 3.47 s,
    A. What is its acceleration?     0.162 m/s2
    B. What is its average speed during the interval?     0.626 m/s
    C. What is the distance travelled during the interval?     2.17 m

  2. A bicycle travelling at 2.71 m/s accelerates uniformly at a rate of 0.282 m/s for 3.26 s.
    A. What is the bicycle's final speed?     3.63 m/s
    B. What is the average speed during the above interval?     3.17 m/s
    C. What is the distance travelled during the interval of acceleration?     10.3 m

  3. A car travelling at 104.4 km/h decelerates at a rate of 4.01 m/s2.
    A. How long (in seconds)will it take the car to stop?     7.23 s
    B. How far (in metres) will the car travel after the breaks were applied?    105 m

  4. A cart on a slope starts from rest and travels a distance of 1.87 m with an average speed of 0.953 m/s.
    A. What is the speed of the cart after having travelled this distance?     1.91 m/s
    B. What is the cart's acceleration?    0.0971 m/s2

  5. A car reaches a speed of 74.8 m/s after accelerating uniformly for 5.99 s during which its average speed was 44.88 m/s.
    A. What was the car's initial speed?    15.0 m/s
    B. What was the car's acceleration?    9.99 m/s2

  6. An object is thrown vertically upward. It has a speed of 17.4 m/s when it has reached one-half of its maximum height.
    A. How high does it rise?     31.0 m
    B. How long will it take to reach its maximum height?     2.52 s
    C. What was the object's initial speed?    24.6 m/s

  7. A stone is thrown vertically downward from a bridge with a speed of 26 m/s. It strikes the water in 5.4 s.
    A. What is the speed of the stone at the instant it strikes the water.     78.9 m/s
    B. What is the height of the bridge?     283 m

  8. A box slides down an inclined plane with uniform acceleration and attains a speed of 40. m/s in 3.0 s. Assume the box started at rest.
    A. What will the speed of the box be 6.0 s after it began its descent?     80.0 m/s
    B. How far down the plane will the box be at the end of 6.0 s?     240 m

  9. A stone is projected vertically upward with a speed of 26 m/s from a tower which is 47 m above the ground. It is observed to rise to a maximum height and then descend to the ground.
    A. What is the stone's maximum height above the ground?     81.5 m
    B. With what speed does the stone strike the ground?     40.0 m/s
    C. How many seconds is the stone in the air?     6.73 s

  10. An object starts from rest and accelerates uniformly at a rate of 6.1 m/s2.
    A. What is the instantaneous speed of the object at t = 3.0 s?     18.3 m/s
    B. What is the instantaneous speed of the object at t = 7.0 s?     42.7 m/s
    C. What is the average speed of the object during the above interval?     30.5 m/s
    D. What is the mid-point in time of the above interval?     5.00 s
    E. What is the instantaneous speed of the object at t = time found in D?    30.5 m/s


    Relative Velocity

  11. A wind velocity of 30.9 m/s E[61.911]N carries an airplane heading at 33.5 m/s E[32.30]S. What is the plane's resultant velocity (ie: ground speed)?     43.9 m/s E [12.6]N

  12. A river flows at 5.7 mls [N 64.511 W]. A canoe heads [N 54.9 W]at 6.4 mls relative to the water. What is the canoe track velocity with respect to the ground?     12.1 m/s N[59.4]W

  13. A boat is crossing a river that has a current of 5.78 km/hr. The boat constantly heads across the river (perpendicular to the current) at a speed of 13.5 km/hr with respect to the river.
    A. What is the speed of the boat as measured by a person on the shore?     14.7 km/h
    B. At what angle with respect to the across-river direction does the boat move downstream?     23.2 o
    C. If it takes the boat 5.45 hours to cross the river, how wide is the river.     73.6 km
    D. How far downstream does the boat travel in the time required to cross the river? 31.5 km

  14. During a storm, a captain sets the course of his ship due east to reach a port 95.8 km away in 9.37 hours. At the end of this time, the ship was 60.6 km south of its destination.
    A. How many degrees south of east is the ship's velocity vector as determined by someone on the shore?     32.3 o
    B. What is the speed of the ship as measured by someone on the shore?     12.1 km/h
    C. To offset the above drift, how many degrees north of east should the captain have set his course in order to arrive at the port in the 9.37 hours?     32.3o
    D. In order to arrive at the port in 9.37 hours, what must the speed of the boat be with respect to the water?     12.1 km/hr

    Projectiles
  15. A stone is thrown horizontally off a cliff and takes 2.43 s to reach the ground. travels a distance of 40.6 m from the base of the cliff.
    A. How high is the cliff.?    28.9 m
    B. What is the magnitude of the stone's final velocity?    29.1 m/s
    C. What is the angle that the stone's final velocity vector makes with respect to the ground?    54.9 o

  16. An object is projected downward at an angle of 16o with the horizontal with an initial speed of 48.2 mls from the top of a cliff which is 699 m high.
    A. In how many seconds will the object reach the ground?    10.7 s
    B. How far from the base of the cliff will it strike the ground?    494 m
    C. What is the speed of the object at the instant it strikes the ground?    127 m/s
    D. At what angle with the horizontal will it strike the ground?     68.5o

  17. An object is projected upward at an angle of 19.9o with the horizontal with an initial speed of 38.7 m/s from the top of a cliff which is 341 m high.
    A. In how many seconds will the object reach the ground?     9.79 s
    B. How far from the base of the cliff will it strike the ground?     356 m/s
    C. What is the speed of the object at the instant it strikes the ground?    90.5 m/s
    D. At what angle with the horizontal will it strike the ground?     66.3o

  18. A projectile is fired at an angle of 42.8o with the horizontal and strikes a building 89.4 m away at a point 68.9 m above the ground.
    A. What is the magnitude of the initial velocity of the projectile?     72.4 m/s
    B. How long does it take the projectile to strike the building?    1.68 s



  19. A cannon has a muzzle speed of 70. m/s. A target is at the same level as the cannon and is 70. m away. The target can be hit when the cannon is fired at either of two angles with respect to the horizontal.
    A. What is the smaller of the two angles of elevation of the cannon?     4.02 o
    B. What is the larger of the two angles of elevation of the cannon?     86.0o

  20. A bomber, diving at an angle of 48.9o with the vertical, releases a bomb at an altitude of 897 m. The bomb strikes the ground in 8.53 s.
    A. What was the magnitude of the initial velocity of the bomber?     96.4 m/s
    B. How far did the bomb travel horizontally during its flight?     620 m
    C. What was the magnitude of the final velocity of the bomb?     164 m/s

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