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1 Name: Class: Date: kin Multiple Choice Identify the choice that best completes the statement or answers the question.. Which of the following is a "scalar" quantity? A) distance D) displacement B) velocity E) none of the above C) acceleration. The slope of a velocity-time graph always represents A) displacement D) acceleration B) distance E) change in acceleration C) change in velocity 3. The area under an acceleration-time graph always represents A) displacement D) change in velocity B) distance E) change in acceleration C) velocity 4. The position-time graph pictured below depicts a person, P, running to catch a bus, B, that has just begun to pull away. Which of the following statements is true? A) The person has no chance of catching the bus. B) The person's acceleration is greater than that of the bus. C) The person has two opportunities to catch up to the bus. D) The speed of the bus is always greater than that of the person. E) The person's speed is always greater than that of the bus.

2 Name: 5. The velocity-time graph that represents "uniform motion" is A) A D) D B) B E) E C) C 6. The velocity-time graph pictured below depicts the motion of a motorcycle. Which of the following statements is true? A) The motorcycle is always experiencing an acceleration. B) The motorcycle's greatest speed occurs toward the end of the recorded time interval. C) The motorcycle's average acceleration is zero. D) The motorcycle eventually reaches uniform motion. E) The motorcycle accelerates until it reaches a constant speed. 7. The velocity-time graph pictured below represents the motion of a police car, P, in pursuit of a motorcycle, M. The motorcycle has just passed the police car. Which of the following statements is true? A) Both vehicles are at rest when the pursuit begins. B) The police car eventually catches the motorcycle. C) The motorcycle accelerates and then slows down. D) At the end of the recorded time interval, the police car has yet to catch the motorcycle. E) The police car passes the motorcycle.

3 Name: 8. The following velocity-time graph depicts the motions of two objects, A and B. Which of the statements describing the graph is true? A) Both objects are accelerating uniformly. B) The two objects are travelling in opposite directions. C) Both objects start from rest. D) Object A travels farther than object B. E) Object B travels farther than object A. 9. Which statement describes the motion represented by the following acceleration-time graph? A) The object is moving with uniform motion. B) The object has a constant velocity. C) The object has a uniform acceleration. D) The object is stopped. E) The object has a changing acceleration. 0. A ball is thrown vertically upward into the air. Which of the following acceleration-time graphs represents the ball's motion? A) A D) D B) B E) E C) C 3

4 Name: Matching Study the velocity-time graph pictured below and match each segment of the graph with the description of its motion at that time. A) segment A D) segment D B) segment B E) segment E C) segment C. The object is motionless during this segment.. The object is moving with constant velocity during this segment. 3. The object travels the greatest distance during this segment. 4. The object is experiencing non-uniform acceleration during this segment. 5. The object is travelling north but accelerating south during this segment. Problem 6. A plane leaves Toronto and flies with an airspeed of.0 0 km/h always pointing due east. A wind is blowing from the north at km/h. (a) What is the plane's velocity relative to the ground? (b) What is the plane's displacement from Toronto after flying for.5 h? 7. A box accidentally falls from the back of a truck and hits the ground with a speed of 5 m/s. It slides along the ground for a distance of 45 m before coming to rest. Determine (a) the length of time the box slides before stopping (b) the average acceleration of the box while it's sliding (c) the time it takes to slide the last 0 m 4

5 Name: 8. An object is pushed from rest across a sheet of ice, accelerating at 5.0 m/s over a distance of 80 cm. The object then slides at a constant speed for 4.0 s until it reaches a rough section that causes the object to stop in.5 s. (Assume significant digits.) (a) What is the speed of the object when it reaches the rough section? (b) At what rate does it slow down once it reaches the rough section? (c) What is the total distance that the object slides? 5

6 kin Answer Section MULTIPLE CHOICE. ANS: A PTS: REF: K/U OBJ:. STA: FM.0. ANS: D PTS: REF: C OBJ:.4 3. ANS: D PTS: REF: C OBJ:.4 4. ANS: C PTS: REF: C OBJ:.4 5. ANS: E PTS: REF: C OBJ:.4 6. ANS: A PTS: REF: C OBJ:.4 7. ANS: D PTS: REF: C OBJ:.4 8. ANS: A PTS: REF: C OBJ:.4 9. ANS: C PTS: REF: C OBJ:.4 0. ANS: D PTS: REF: C OBJ:.5 MATCHING. ANS: E PTS: REF: C OBJ:.4. ANS: B PTS: REF: C OBJ:.4 3. ANS: C PTS: REF: C OBJ:.4 4. ANS: A PTS: REF: C OBJ:.4 5. ANS: D PTS: REF: C OBJ:.4

7 PROBLEM 6. ANS: (a) plane's velocity relative to the ground The plane's velocity relative to the ground is.3 0 km/h [70 º E of S]. (b) plane's displacement from Toronto after.5 h d v t 34 km/h [70 E of S](.5 h) km [70 E of S] The plane's displacement from Toronto is km[70 E of S]. PTS: REF: K/U OBJ:.3 STA: FM.03

8 7. ANS: (a) t d v i + v f (45 m) 5 m/s m/s 6.0 s The length of time the box slides is 6.0 s. (b) a v f v i t 0.0 m/s 5 m/s 6.0 s.5 m/s The acceleration of the box is.5 m/s. Ê (c) t d ˆ Ë Á a Ê (0 m) ˆ Ë Á.5 m/s.8 s The time it takes to slide the last 0 m is.8 s. PTS: REF: I OBJ:.6 STA: FM.04 3

9 8. ANS: (a) v f (v i + a d) È (0.0 m/s) + (5.0 m/s )(0.80 m) ÎÍ.8 m/s The object's speed is.8 m/s. (b) a v f v i t 0.0 m/s.83 m/s.5 s. m/s The rate of acceleration is. m/s. (c) accelerating: d 0.80 m uniform motion: d v t.83 m/s(4.0 s).3 m decelerating: d (v i + v f ) t (.83 m/s m/s)(.5 s) 3.5 m total distance: d 0.80 m +.3 m m 6 m PTS: REF: I OBJ:.6 STA: FM.04 4

10 Name: Class: Date: kin Multiple Choice Identify the choice that best completes the statement or answers the question.. Which of the following is a "scalar" quantity? A) distance D) displacement B) velocity E) none of the above C) acceleration. The slope of a velocity-time graph always represents A) displacement D) acceleration B) distance E) change in acceleration C) change in velocity 3. The area under an acceleration-time graph always represents A) displacement D) change in velocity B) distance E) change in acceleration C) velocity 4. The position-time graph pictured below depicts a person, P, running to catch a bus, B, that has just begun to pull away. Which of the following statements is true? A) The person has no chance of catching the bus. B) The person's acceleration is greater than that of the bus. C) The person has two opportunities to catch up to the bus. D) The speed of the bus is always greater than that of the person. E) The person's speed is always greater than that of the bus.

11 Name: 5. The velocity-time graph that represents "uniform motion" is A) A D) D B) B E) E C) C 6. The velocity-time graph pictured below depicts the motion of a motorcycle. Which of the following statements is true? A) The motorcycle is always experiencing an acceleration. B) The motorcycle's greatest speed occurs toward the end of the recorded time interval. C) The motorcycle's average acceleration is zero. D) The motorcycle eventually reaches uniform motion. E) The motorcycle accelerates until it reaches a constant speed. 7. The velocity-time graph pictured below represents the motion of a police car, P, in pursuit of a motorcycle, M. The motorcycle has just passed the police car. Which of the following statements is true? A) Both vehicles are at rest when the pursuit begins. B) The police car eventually catches the motorcycle. C) The motorcycle accelerates and then slows down. D) At the end of the recorded time interval, the police car has yet to catch the motorcycle. E) The police car passes the motorcycle.

12 Name: 8. The following velocity-time graph depicts the motions of two objects, A and B. Which of the statements describing the graph is true? A) Both objects are accelerating uniformly. B) The two objects are travelling in opposite directions. C) Both objects start from rest. D) Object A travels farther than object B. E) Object B travels farther than object A. 9. Which statement describes the motion represented by the following acceleration-time graph? A) The object is moving with uniform motion. B) The object has a constant velocity. C) The object has a uniform acceleration. D) The object is stopped. E) The object has a changing acceleration. 0. A ball is thrown vertically upward into the air. Which of the following acceleration-time graphs represents the ball's motion? A) A D) D B) B E) E C) C 3

13 Name: Matching Study the velocity-time graph pictured below and match each segment of the graph with the description of its motion at that time. A) segment A D) segment D B) segment B E) segment E C) segment C. The object is motionless during this segment.. The object is moving with constant velocity during this segment. 3. The object travels the greatest distance during this segment. 4. The object is experiencing non-uniform acceleration during this segment. 5. The object is travelling north but accelerating south during this segment. Problem 6. A plane leaves Toronto and flies with an airspeed of.0 0 km/h always pointing due east. A wind is blowing from the north at km/h. (a) What is the plane's velocity relative to the ground? (b) What is the plane's displacement from Toronto after flying for.5 h? 7. A box accidentally falls from the back of a truck and hits the ground with a speed of 5 m/s. It slides along the ground for a distance of 45 m before coming to rest. Determine (a) the length of time the box slides before stopping (b) the average acceleration of the box while it's sliding (c) the time it takes to slide the last 0 m 4

14 Name: 8. An object is pushed from rest across a sheet of ice, accelerating at 5.0 m/s over a distance of 80 cm. The object then slides at a constant speed for 4.0 s until it reaches a rough section that causes the object to stop in.5 s. (Assume significant digits.) (a) What is the speed of the object when it reaches the rough section? (b) At what rate does it slow down once it reaches the rough section? (c) What is the total distance that the object slides? 5

15 kin Answer Section MULTIPLE CHOICE. ANS: A PTS: REF: K/U OBJ:. STA: FM.0. ANS: D PTS: REF: C OBJ:.4 3. ANS: D PTS: REF: C OBJ:.4 4. ANS: C PTS: REF: C OBJ:.4 5. ANS: E PTS: REF: C OBJ:.4 6. ANS: A PTS: REF: C OBJ:.4 7. ANS: D PTS: REF: C OBJ:.4 8. ANS: A PTS: REF: C OBJ:.4 9. ANS: C PTS: REF: C OBJ:.4 0. ANS: D PTS: REF: C OBJ:.5 MATCHING. ANS: E PTS: REF: C OBJ:.4. ANS: B PTS: REF: C OBJ:.4 3. ANS: C PTS: REF: C OBJ:.4 4. ANS: A PTS: REF: C OBJ:.4 5. ANS: D PTS: REF: C OBJ:.4

16 PROBLEM 6. ANS: (a) plane's velocity relative to the ground The plane's velocity relative to the ground is.3 0 km/h [70 º E of S]. (b) plane's displacement from Toronto after.5 h d v t 34 km/h [70 E of S](.5 h) km [70 E of S] The plane's displacement from Toronto is km[70 E of S]. PTS: REF: K/U OBJ:.3 STA: FM.03

17 7. ANS: (a) t d v i + v f (45 m) 5 m/s m/s 6.0 s The length of time the box slides is 6.0 s. (b) a v f v i t 0.0 m/s 5 m/s 6.0 s.5 m/s The acceleration of the box is.5 m/s. Ê (c) t d ˆ Ë Á a Ê (0 m) ˆ Ë Á.5 m/s.8 s The time it takes to slide the last 0 m is.8 s. PTS: REF: I OBJ:.6 STA: FM.04 3

18 8. ANS: (a) v f (v i + a d) È (0.0 m/s) + (5.0 m/s )(0.80 m) ÎÍ.8 m/s The object's speed is.8 m/s. (b) a v f v i t 0.0 m/s.83 m/s.5 s. m/s The rate of acceleration is. m/s. (c) accelerating: d 0.80 m uniform motion: d v t.83 m/s(4.0 s).3 m decelerating: d (v i + v f ) t (.83 m/s m/s)(.5 s) 3.5 m total distance: d 0.80 m +.3 m m 6 m PTS: REF: I OBJ:.6 STA: FM.04 4

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