AP Physics 1 Semester Final Exam Review

1 AP Physics 1st Semester Final Exam Review 1. The graph at the right shows the velocity v as a function of time t for an object moving in a v straight line. Which of the following graphs shows the corresponding position x as a function of time t for the same time interval? t x x x x x (A) (B) (C) (D) (E). t t t t t 2 3 At time t = 0, car X traveling with speed v0 passes car Y. which is just starting to move. Both cars then travel on two parallel lanes on the same v straight road. The graphs of speed v versus time t for both cars are shown above. Car Y. 2. Which of the following is true at time t = 20 seconds? (A) Car Y is behind car X. (B) Car Y is passing car X. Car X. (C) Car Y is in front of car X. v0. (D) Both cars have the same acceleration. (E) Car X is accelerating faster then car Y. 3. From time t = 0 to time t = 40 seconds, the areas under both curves are equal.

2 Therefore, which of the following is true at time t = 40 seconds? t (s). (A) Car Y is behind car X. 0 10 20 30 40. (B) Car Y is passing car X. (C) Car Y is in front of car X. (D) Both cars have the same acceleration. (E) Car X is accelerating faster than car Y. 4. A body moving in the positive x direction passes the origin at time t = 0. Between t = 0 and t = 1 second, the body has a constant speed of 24 meters per second. At t = 1 second, the body is given a constant acceleration of 6 meters per second squared in the negative x direction. The position x of the body at t = 11 seconds is (A) +99 m (B) +36 m (C) 36 m (D) 75 m (E) 99 m AP Physics 1st Semester Final Exam Review Page 2. 5. Which of the following pairs of graphs shows the distance traveled versus time and the speed versus time for an object uniformly accelerated from rest?

3 Distance Speed Distance Speed (A) (B). t t t t 0 0 0 0. Distance Speed Distance Speed (C) (D). t t t t 0 0 0 0. Distance Speed (E). t t 0 0. 6. A particle moves along the x-axis with a non-constant acceleration described by a = 12t, where a is in meters per second squared and t is in seconds. If the particle starts from rest so that its speed v and position x are zero when t = 0, where is it located when t = 2 seconds? (A) x = 12 m (B) x = 16 m (C) x = 24 m (D) x = 32 m (E) x = 48 m 7 8 An object moving in a straight line has a velocity v in meters per second that varies with time t in seconds according to the 2. following function: v = 4 + t . 7. The instantaneous acceleration of the object at t = 2 seconds is 2. (A) 2 m/s 2. (B) 4 m/s 2. (C) 5 m/s 2. (D) 6 m/s 2. (E) 8 m/s 8. The displacement of the object between t = 0 and t = 6 seconds is (A) 22 m (B) 28 m (C) 40 m (D) 42 m (E) 60 m AP Physics 1st Semester Final Exam Review Page 3.

4 9. A 500-kilogram sports car accelerates uniformly from rest, reaching a speed of 30 meters per second in 6 seconds. During the 6. seconds, the car has traveled a distance of (A) 15 m (B) 30 m (C) 60 m (D) 90 m (E) 180 m 10. An object is shot vertically upward into the air with a positive initial velocity. Which of the following correctly describes the velocity and acceleration of the object at its maximum elevation? Velocity Acceleration (A) Positive Positive (B) Zero Zero (C) Negative Negative (D) Zero Negative (E)Positive Negative 11. Which of the following graphs of position d versus time t corresponds to the motion of an object moving in a straight line with positive acceleration? d d d d d t t t t t (A) (B) (C) (D) (E). 12. A ball is thrown straight up from a point 2 m above the ground. The ball reaches a height of 3 m above its starting point and then falls 5 m to the ground.

5 When the ball hits the ground what is its displacement from its starting point? (A) 0 m (B) 8 m below (C) 5 m below (D) 2 m below (E) 3 m above 13. What do acceleration and velocity have in common? (A) Both are vectors. (B) Both are scalars. (C) Both are measured in units of distance divided by time. (D) Both are measured in units of distance divided by time squared. (E) They are different names for the same quantity. AP Physics 1st Semester Final Exam Review Page 4. 14. In the absence of air friction, an object dropped near the surface of the Earth experiences a constant acceleration of about 10. 2. m/s . This means that the: A) Speed of the object increases 10 m/s during each second. B) Speed of the object as it falls is 10 m/s. C) Object falls 10 meters during each second. D) Object falls 10 meters during the first second only.

6 2. E) Derivative with respect to time for the object equals 10 m/s . vf vi 15. A ball initially moves horizontally with a velocity vi as shown above. It is then struck by a stick. After leaving the stick, the ball moves vertically with a velocity vf, which is smaller in magnitude than vi. Which of the following vectors best represents the direction of the average acceleration experienced by the ball? (A) (B) (C) (D) (E). 16. At a particular instant, a stationary observer on the ground sees a package falling with a speed v1 at an angel to the vertical. To a pilot flying horizontally at a constant speed relative to the ground, the package appears to be falling vertically with a speed v2. at that instant. What is the speed of the pilot relative to the ground? A) v1 + v2. B) v1 v2. C) v2 v1. v1 v2. 2 2.

7 D). v1 v2. 2 2. E). 17. A spring loaded gun can fire a projectile to a height h if it is fired straight up. If the same gun is pointed at an angle of 45 from the vertical, what maximum height can now be reached by the projectile? h h h h (A) (B) (C) (D) (E) h 4 2 2 2 2. 18. Two people are in a boat that is capable of a maximum speed of 5 kilometers per hour in still water and wish to cross a river 1. kilometer wide to a point directly across from their starting point. If the speed of the water is in the river is 5 kilometers per hour, how much time is required for the crossing? A) 1/20 hr B) 1/10 hr C) 1 hr D) 10 hr E) The point directly across from the starting point cannot be reached under these conditions. AP Physics 1st Semester Final Exam Review Page 5. 19. A projectile fired from the surface of the Earth with a speed of 200 meters per second at an angle of 30 above the horizontal.

8 If the ground is level, what is the maximum height reached by the projectile? A) 5 m B) 10 m C) 500 m D) 1,000 m E) 2,000 m 20. Vectors v1 and v2 shown at the right have equal N N. magnitudes. The vectors represent the velocities of an object at times t1 and t2 respectively. The average v2. acceleration of the object between time t1 and t2 was: v1. A) Zero B) Directed north W E W E. C) Directed west D) Directed north of east E) Directed north of west S S. 21. A rock is dropped from the top of a 45-meter tower and at the same time, a ball is thrown from the top of the tower in a horizontal direction. Air resistance is negligible. The ball and the rock hit the level ground a distance of 30 meters apart. The horizontal velocity of the ball is most nearly: A) 5 m/s B) 10 m/s C) m/s D) 20 m/s E) m/s A ball is thrown and follows a parabolic path, as shown at the right.

9 Air friction is negligible. Point Q is the highest point on the Q. path. P. 22. Which of the following best indicates the direction of the acceleration, if any of the ball at point Q? There is no acceleration of the ball at point Q. (A) (B) (C) (D) (E). 23. Which of the following best indicated the direction of the resultant velocity at point P? (A) (B) (C) (D) (E). AP Physics 1st Semester Final Exam Review Page 6. 5 m/s 10 m 24. An object slides off a roof 10 meters above the ground with an initial horizontal speed of 5 meters per second as shown above. The time between the object's leaving the roof and hitting the ground is most nearly: 1. A) s 2. 1. B) s 2. (C) 2 s (D) 2s (E) 5 2 s 25. A racing car is moving around the circular track of radius 300 meters as shown at the right. At the instant when the car's velocity is directed due east, its acceleration is directed due south and N.

10 Has a magnitude of 3 meters per square seconds. When viewed from above, the car is moving: A) clockwise at 30 m/s B) clockwise at 10 m/s W E. C) anticlockwise at 30 m/s D) anticlockwise at 10 m/s E) with a constant velocity View of track from above S. 26. A projectile has an initial velocity of magnitude v0 which makes an angle of 0 with the horizontal. Air friction is negligible. All of the following are true at point P, the highest point of the trajectory, EXCEPT: A) The time required to reach P is given by t v0 cos 0 / g B) The horizontal displacement has been v0 t cos 0 , where t is the time required to reach P. C) hm ax (v0 sin 0 ) 2 / 2 g P. D) The speed is v0 cos 0. E) The acceleration is g hmax v0.. AP Physics 1st Semester Final Exam Review Page 7. 27. A box is attached to a mass by a string over a pulley.