AP Physics C: One Dimensional Kinematics

Transcription

1 Slide 1 / 33 P Physics : One imensional Kinematics Multiple hoice Questions

2 Slide 2 / 33 1 In the absence of air resistance, a ball dropped near the surface of the arth experiences a constant acceleration of 9.8 m/s 2. This means that the Speed of the object increases 9.8 m/s during each second. speed of the object as it falls is 9.8 m/s object falls 9.8 meters during each second object falls 9.8 meters during the first second only derivative of the distance with respect to time for the object equals 9.8 m/s squared

3 Slide 3 / kilogram truck accelerates uniformly from rest, reaching a speed of 50 meters per second in 10 seconds. uring the 10 seconds, the car has traveled a distance of 85 m 175 m 200 m 250 m 300 m

4 Slide 4 / 33 3 The graph above shows the velocity v as a function of time t for an object moving in a straight line. Which of the following graphs shows the corresponding displacement x as a function of time t for the same time interval?

5 Slide 5 / 33 4 t time t = 0, car traveling with speed v0 passes car. which is just starting to mo then travel on two parallel lanes of the same straight road. The graphs of speed v ve for both cars are shown above. Which of the following is true at time t = 10 seconds? ar is behind car ar is passing car ar is in front of car oth cars have the sam e acceleration ar is accelerating fester then car

6 Slide 6 / 33 5 t time t = 0, car traveling with speed v0 passes car. which is just starting to mo then travel on two parallel lanes of the same straight road. The graphs of speed v ve for both cars are shown above. From time t = 0 to time t = 20 seconds, the areas under both curves are equal. The of the following is true at time t = 20 seconds? ar is behind car ar is passing car ar is in front of car oth cars have the sam e acceleration ar is accelerating faster than car

7 Slide 7 / 33 6 runner moving in the + x direction passes the origin at time t = 0. = 0 and t = 2 seconds, the runner has a constant speed of 8 m/ s and seconds is accelerating at a constant rate of 4 m/ s 2 in the - x directio distance where the runner is located at t = 5 seconds is + 14 m + 94 m + 22 m - 74 m - 94 m

8 Slide 8 / 33 7 Which of the following pairs of graphs shows the distance traveled versus time and t versus tim e for an object uniform ly decelerating to rest?

9 Slide 9 / 33 8 particle moves along the x- axis with a non- constant acceleration described by a = in meters per second squared and t is in seconds. If the particle starts from rest so speed v and position x are zero when t = 0, where is it located when t = 2 seconds? x = 4 m x = 8 m x = 16 m x = 24 m x = 36 m

10 Slide 10 / 33 Questions n object moving in a straight line has a velocity v in meters per second that varies w seconds according to the following function. v = t 2 The instantaneous acceleration of the object at t = 2 seconds is 2 m/ s 2 4 m/ s 2 6 m/ s 2 8 m/ s 2 10 m/ s 2

11 Slide 11 / 33 Questions n object moving in a straight line has a velocity v in meters per second that varies seconds according to the following function. v = t 2 The displacement of the object between t = 0 and t = 6 seconds is 120 m 180 m 228 m 242 m 260 m

12 Slide 12 / rocket is shot vertically upward into the air with a positive initial velocity. Which o following correctly describes the velocity and acceleration of the object at its m ax im elevation? Velocity cceleration Positive Negative Zero Negative Zero Positive Zero Negative Negative Positive

13 Slide 13 / 33 Questions The acceleration of an object is given by the function: a= 8t+ 4 for all values of t> The object is initially 2 meters from the origin and moving to the right with a speed of 2 meters per second. 12 Find the velocity at t = 3 seconds 37 m/ s 43 m/ s 50 m/ s 62 m/ s 78 m/ s

14 Slide 14 / 33 Questions The acceleration of an object is given by the function: a= 8t+ 4 for all values of t> 0 The object is initially 2 meters from the origin and moving to the right with a speed of 2 meters per second. 13 Find the instantaneous speed of the object at t = 2 seconds 12 m/ s 26 m/ s 33 m/ s 41 m/ s 50 m/ s

15 Slide 15 / 33 Questions The acceleration of an object is given by the function: a= 8t+ 4 for all values of t> 0 The object is initially 2 meters from the origin and moving to the right with a speed of 2 meters per second. 14 Find the total distance traveld at t = 3 by the object 48 m 56 m 62 m 66 m 72 m

16 Slide 16 / 33 Questions The acceleration of an object is given by the function: a= 8t+ 4 for all values of t> 0 The object is initially 2 meters from the origin and moving to the right with a speed of 2 meters per second. 15 Find the displacement of the object at t = 2 seconds 15 m 20 m 25m 30 m 35 m

17 Slide 17 / n object in free fall has a velocity of 5 meters per second in the upward direction. instantaneous velocity of the object one second later? 10 m/ s down 5 m/ s up 10 m/ s up 5 m/ s down 14 m/ s down

18 Slide 18 / t what speed should an object be launched at in order to achieve a height of 20 m 10 m/ s 14 m/ s 20 m/ s 23 m/ s 29 m/ s

19 Slide 19 / How long must a 5 m/ s 2 acceleration act to change the velocity of a 5 kg objec 0.6 m/ s 1.2 m/ s 2.4 m/ s 3.6 m/ s 4.8 m/ s

20 Slide 20 / n object is thrown straight downward on arth with an initial speed of 10 m/ s from of 20 meters above the ground. Ignoring air resistance the speed of the object when the ground is about 13.2 m/ s 16.1 m/ s 19.5 m/ s 22.2 m/ s 31.7 m/ s

21 Slide 21 / ball initially at rest falls a height h without air resistance. If the ball falls a distanc time t, how much time is required to fall the remaining h/ 2? 0.25 t 0.4 t 0.5 t 0.71 t 1 t

22 Slide 22 / 33 Questions The following function represents the path taken by an object: x= 4t 2-3t+ 2 where x is the object s displacement and t is time. The object starts at x= 2 meters away from the origin and accelerates from rest. 21 How far does the object travel at t = 3 if the object starts at t = 0? 16 m 23 m 27 m 33 m 39 m

23 Slide 23 / 33 Questions The following function represents the path taken by an object: x= 4t 2-3t+ 2 where x is the object s displacement and t is time. The object starts at x= 2 meters away from the origin and accelerates from rest. 22 How far away from the origin is the object at t = 4? 42 m 54 m 56 m 60 m 68 m

24 Slide 24 / 33 Questions The following function represents the path taken by an object: x= 4t 2-3t+ 2 where x is the object s displacement and t is time. The object starts at x= 2 meters away from the origin and accelerates from rest. 23 What is the instantaneous speed of the object at t = 2? 13 m/ s 18 m/ s 23 m/ s 28 m/ s 33 m/ s

25 Slide 25 / 33 Questions The following function represents the path taken by an object: x= 4t 2-3t+ 2 where x is the object s displacement and t is time. The object starts at x= 2 meters away from the origin and accelerates from rest. 24 t what time is the velocity of the object about 29 meters per second? 2 s 4 s 5 s 6 s 8 s

26 Slide 26 / 33 Questions The following function represents the path taken by an object: x= 4t 2-3t+ 2 where x is the object s displacement and t is time. The object starts at x= 2 meters away from the origin and accelerates from rest. 25 What is the instantaneous acceleration of the object at t = 3? 8 m/ s^ 2 12 m/ s^ 2 20 m/ s^ 2 24 m/ s^ 2 none (velocity is constant)

27 Slide 27 / 33 Questions The following function represents the path taken by an object: x= 4t 2-3t+ 2 where x is the object s displacement and t is time. The object starts at x= 2 meters away from the origin and accelerates from rest. 26 t what time is the acceleration of the object about 10 m/ s^ 2? 0 s 2 s 4 s 8 s at no time is the acceleration 10 m/ s^ 2

28 Slide 28 / 33 Questions The acceleration of an object is represented by the function a = 9t for t> 0. t t= 0 the object at x= - 2 m and is traveling with a velocity of 3 meters per second in the negative x direction. 27 How fast is the object moving at t = 2? 13 m/ s 25 m/ s 38 m/ s 47 m/ s none (velocity is zero)

29 Slide 29 / 33 Questions The acceleration of an object is represented by the function a = 9t for t> 0. t t= 0 the object at x= - 2 m and is traveling with a velocity of 3 meters per second in the negative x direction. 28 What is the instataneous acceleration at t = 3? 9 m/ s^ 2 19 m/ s^ 2 41 m/ s^ 2 54 m/ s^ 2 83 m/ s^ 2

30 Slide 30 / 33 Questions The acceleration of an object is represented by the function a = 9t for t> 0. t t= 0 the object at x= - 2 m and is traveling with a velocity of 3 meters per second in the negative x direction. 29 t what time is the acceleration approximately 26 m/ s^ 2? 1 s 2 s 3 s 4 s nonw (there is no time in which acceleration is 36 m/ s^ 2

31 Slide 31 / 33 Questions The acceleration of an object is represented by the function a = 9t for t> 0. t t= 0 the object at x= - 2 m and is traveling with a velocity of 3 meters per second in the negative x direction. 30 How far from the origin is the object at t = 2? 8 m 14 m 26 m 28 m 37 m

32 Slide 32 / 33 Question car starting from rest uniformly accelerates in a straight line as shown above 31 What was the acceleration during the entire 3 second interval? (t 0 = 0s, x 0 = 0m; t 1 = 1s, x 1 = 2m; t 2 = 2s, x 2 = 8m; t 3 = 3s, x 3 = 18m) 1 m/ s^ 2 3 m/ s^ 2 4 m/ s^ 2 6 m/ s^ 2 12 m/ s^ 2

33 Slide 33 / 33 Question car starting from rest uniformly accelerates in a straight line as shown abov 32 What was the average velocity of the car during the first two seconds? (t 0 = 0s, x 0 = 0m; t 1 = 1s, x 1 = 2m; t 2 = 2s, x 2 = 8m; t 3 = 3s, x 3 = 18m) 2 m/ s 4 m/ s 6 m/ s 8 m/ s 10 m/ s