Physics 191 Fall 2021 Exam 1 Multiple Choice Multiple Choice. Choose the one alternative that BEST completes the statement or answers the question, and write your choice, A, B, C, D, or E in the space indicated. Each question is worth five points. 1) The figure shows the velocity of a particle as it travels along the x-axis. What is the direction of the acceleration at t = 0.5 s? A) The acceleration is zero. B) in the -x direction C) in the +x direction D) it is impossible to tell. Answer: B 1 1) 2) The velocity of an object as a function of time is given by 2) v(t) = 2.00 m/s + (3.00 m/s) t - (1.0 m/s2) t2. Determine the instantaneous acceleration of the object at time t = 3.00 s. A) -3.00 m/s2 B) -2.00 m/s2 C) 2.00 m/s2 D) 1.00 m/s2 E) 0.00 m/s2 Answer: A 3) On the earth, when an astronaut throws a 0.250-kg stone vertically upward, it returns to 3) his hand a time T later. On planet X he finds that, under the same circumstances, the stone returns to his hand in 2T. In both cases, he throws the stone with the same initial velocity and it feels negligible air resistance. The acceleration due to gravity on planet X (in terms of g) is A) g/2. B) g/ 2. C) 2g. D) g 2. E) g/4. Answer: A 4) If an object travels at a constant speed in a circular path, the acceleration of the object is A) larger in magnitude the smaller the radius of the circle. B) in the same direction as the velocity of the object. C) in the opposite direction of the velocity of the object. D) zero. E) smaller in magnitude the smaller the radius of the circle. Answer: A 2 4) 5) Vectors A and B are shown in the figure. What is |-5.00 A + 4.00 B | A) 31.8 B) 34.0 C) ^ ^ ^ ^ -2.00 i - 32.0 j D) -32.0 i - 2.00 j E) 1028 Answer: A 3 5) 6) You are riding in a 1992 Chevy Van travelling at 50 m/s. A baseball is hit toward you at a 70o angle above the horizontal with a speed of 20 m/s relative to the Earth. What speed and direction do you measure for the ball? 6) A) 67 m/s 43o below horizontal B) 60 m/s 18o above horizontal C) 67 m/s 43o above horizontal D) 60 m/s 18o below horizontal E) 70 m/s 70o above horizontal Answer: B 7) A ball is thrown at a 60.0° angle above the horizontal across level ground. It is thrown from a height of 2.00 m above the ground with a speed of 22.0 m/s and experiences no appreciable air resistance. The time the ball remains in the air before striking the ground is closest to A) 16.2 s. B) 3.88 s. C) 3.97 s. D) 4.07 s. E) 3.82 s. Answer: C 4 7) 8) The position of an object is given by x = at3 - bt2 + ct, where a = 4.1 m/s3 , b = 2.2 m/s2 , c = 1.7 m/s, and x and t are in SI units. What is the instantaneous acceleration of the object when t = 0.6 s? 8) A) 2.9 m/s2 B) -13 m/s2 C) 10 m/s2 D) -9.8 m/s2 E) 3.5 m/s2 Answer: C 9) An object starts from rest at time t = 0.00 s and moves in the +x direction with constant 9) acceleration. The object travels 6.00 m from time t = 1.00 s to time t = 2.00 s. What is the acceleration of the object? A) 2.00 m/s2 B) -6.00 m/s2 C) -2.00 m/s2 D) 4.00 m/s2 E) 12.0 m/s2 Answer: D 10) A ball is thrown directly upward and experiences no air resistance. Which one of the following statements about its motion is correct? A) The acceleration is upward during the entire time the ball is in the air. B) The acceleration of the ball is downward while it is traveling up and downward while it is traveling down but is zero at the highest point when the ball stops. C) The acceleration is downward during the entire time the ball is in the air. D) The acceleration of the ball is upward while it is traveling up and downward while it is traveling down. E) The acceleration of the ball is downward while it is traveling up and upward while it is traveling down. Answer: C 5 10) 11) A runner maintains constant acceleration after starting from rest as she runs a distance of 11) 60.0 m. The runner's speed at the end of the 60.0 m is 9.00 m/s. How much time did it take the runner to complete the 60.0 m distance? A) 13.3 s B) 9.80 s C) 15.0 s D) 6.67 s E) 10.2 s Answer: A ^ ^ 12) An object has a position given by r = [2.0 m + (3.00 m/s)t]i + [3.0 m - (2.00 m/s2)t2]j, 12) where quantities are in SI units. What is the speed of the object at time t = 2.00 s? A) 4.65 m/s B) 8.54 m/s C) 5.50 m/s D) 11.0 m/s E) 5.00 m/s Answer: B 13) An aircraft performs a maneuver called an "aileron roll." During this maneuver, the plane turns like a screw as it maintains a straight flight path, which sets the wings in circular motion. If it takes it 35 s to complete the circle and the wingspan of the plane is 11 m, what is the acceleration of the wing tip? A) 0.99 m/s2 B) 1.0 m/s2 C) 5.6 m/s2 D) 0.18 m/s2 E) 2.6 m/s2 Answer: D 6 13) 14) You walk 34 m to the north, then turn 60° to your right and walk another 45 m. How far are you from where you originally started? A) 39 m B) 100 m C) 69 m D) 76 m E) 35 m Answer: C 7 14) Answer Key Testname: EXAM1_MC_FALL21 1) B 2) A 3) A 4) A 5) A 6) B 7) C 8) C 9) D 10) C 11) A 12) B 13) D 14) C 8