PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 1. The velocity vs. time graph below is for a runner. The value of vs is 8 m/s. How far does the runner travel during the first 14 seconds? The following points are on the curve: (0 s, 0 m/s); (2 s, 8 m/s); (10 s, 8 m/s); (12 s, 4 m/s); and (16 s, 4 m/s). A. 100 m B. 88 m C. 104 m D. 92 m E. 112 m 1 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 2. Which of the following statements is true about the vectors in this figure? A. C E B B. A 2E B C. D E C D. A E D E. A D C 3. A car is traveling at 12 m/s between t = 0 s and t = 2 s. At t = 2 s, the driver sees a red light ahead and steps on the brakes. The car's acceleration has a magnitude of 3 m/s2; the car eventually comes to rest at the traffic light. How far has the car traveled since t = 0 s? A. 24 m B. 56 m C. 72 m D. 36 m E. 48 m 2 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 4. A car travels on a long, straight highway at a constant speed of 30 m/s when it passes a stationary police motorcycle. As the car passes the motorcycle, the motorcycle accelerates at a constant rate of 10 m/s2 to try to catch up to the car. How far will the motorcyle travel before it catches up to the car? A. 135 m B. 180 m C. 90 m D. 45 m E. 30 m 5. In the sketch below of position versus time, is the velocity zero at any point during the plotted time range? A. No B. Yes C. Impossible to tell regardless of the information D. Need to know whether or not acceleration is constant to answer E. Can't tell with the available information 3 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 6. A Penn State professor drives from State College to Tyrone, 20 miles away, at 40 mph. He stops for 20 minutes in Tyrone for coffee, then drives on to Altoona (another 20 miles) at 60 mph. Assuming State College, Tyrone and Altoona to be more or less on a straight line, what is the magnitude of the professor's average velocity for the entire trip? A. 20.3 mph B. 40 mph C. 60 mph D. None of the above. E. 34.3 mph 7. Two particles, A and B, are moving under the influence of the earth's gravitational attraction. Particle A has a initial velocity of +20 m/s at t = 0 and particle B has a velocity of -20 m/s at t = 0 (the positive direction is upward and the acceleration of gravity is -9.8 m/s2). Which of the plots of velocity versus time correctly describes the motion of these particles? A. 4 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University B. C. 5 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University D. 8. A rock is thrown upwards at v1 and reaches a maximum height h1. If the rock was instead thrown upwards at v1 / 3, it reaches a maximum height of: A. h1 / 3 B. 9 h1 C. h1 / 9 D. h1 / 6 E. h1 / 18 6 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 9. Vehicles A and B are moving in one dimension with velocities as indicated above; A has a time varying velocity and B has a constant velocity. Both vehicles start at the same location at t=0. What are all of the future times at which the two vehicles are in the same location? A. At t = 2, 4, 6, 8, 10 seconds B. At t = 4 and 8 seconds C. At no time after t = 0 seconds are they in the same location D. At t = 2, 6, 10 seconds E. At t = 1, 3, 5, 7, and 9 seconds 7 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 10. If the x component of a vector A, in the xy plane, is half as large as the magnitude of the vector, the tangent of the angle between the vector and the x axis is: A. 3/2 B. 3/2 C. 3 D. 3 E. 1/2 11. If a ball rolls off of your desk with a speed v, it takes 0.60 s to land on the floor. If the a second ball rolls off of your desk with a speed 2v, how long the second ball take to land on the foor? (Assume your desk is level and that air resistance is negligible.) A. 1.2 s B. 2.4 s C. 0.15 s D. 0.30 s E. 0.60 s 8 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 12. The figure below shows the relation between position x and time t for a particle. Which of the following statements are true? 1) The particle's velocity is negative at a. 2) The particle's acceleration is zero at a. 3) The particle's acceleration is negative at f. 4) The particle's velocity is negative at b. 5) The particle's acceleration is roughly zero at c. 6) The particle's velocity is zero at c. A. 2,5 B. 2,3,4 C. 4,6 D. 1,2,6 E. 3,4,5 9 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 13. Two athletes jump straight up. Adam has half the initial speed of Bob. Bob is in the air: A. twice as long as Adam B. four times as long as Adam C. three times as long as Adam D. 0.50 times as long as Adam E. 1.41 times as long as Adam 10 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 14. The motions of a car and a truck along a straight road are represented by the velocity-versus- time graphs in the figure. The two vehicles are initially alongside each other at time t = 0. At time T, what is true about these two vehicles? A. The car will have traveled further than the truck since time t = 0 B. The truck will have traveled further than the car since time t = 0 C. The car will be traveling faster than the truck D. The truck will be traveling faster than the car E. The truck and the car will have traveled the same distance 11 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 15. Vector A 4mıˆ 3møˆj Vector B has a magnitude of 2m. Which of the following . could be the vector A-B? A. 4mıˆ 2møˆj B. 4mıˆ 3møˆj C. 4mıˆ 3møˆj D. 6mıˆ 3møjˆ E. 8mıˆ 6møˆj 16. A vector has magnitude 25 m and points 30° North of East. The vector 3r r : A. has magnitude 75 m and points 30° North of West. B. has magnitude 75 m and points 30° North of East. C. has magnitude 75 m and points 30° South of West. D. has magnitude 25 m and points 60° South of East. E. has magnitude 75 m and points 60° South of West. 12 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University 17. A world-class sprinter can reach a top speed (of about 11.5 m/s) in the first 15.0 m of a race. when accelerating at a constant rate.What is the average acceleration of this sprinter? A. 3.04 m/s2 B. 4.41 m/s2 C. 3.01 m/s2 D. 7.73 m/s2 E. 6.10 m/s2 18. While on Planet X an astronaut is able to hit a golf ball a horizontal distance of 180 m in the air. If the same astronaut hits a golf ball on the Earth in the exact same way, the ball only travels horizontally 30 m in the air. What is the acceleration due to gravity on Planet X? A. 2.1 m/s2 B. 0.41 m/s2 C. 1.0 m/s2 D. 0.21 m/s2 E. 1.6 m/s2 13 PHYS 211 - Fall 2018 - MT1 Sample 1 19. The angle between © 2018; The Pennsylvania State University A (25m)ıˆ (45m) øˆ and the positive x axis is: A. 151° B. 209° C. 29° D. 61° E. 241° 20. A rocket takes off vertically from rest under the power of its rocket motor. The rocket motor is sufficiently powerful that the rocket has an upward acceleration of 5g (49 m/s2). After 5 sec the rocket motor instantaneously burns out and only the downward acceleration of gravity acts on the rocket. Approximately what maximum height does the rocket reach above the point where its motor burns out? A. 3,060 m B. 1,960 m C. 25 m D. 32 m E. 6,130 m 14 PHYS 211 - Fall 2018 - MT1 Sample 1 © 2018; The Pennsylvania State University Problem Answer 1 D. 2 A. 3 E. 4 B. 5 A. 6 7 8 9 10 E. A. C. A. D. 11 12 13 14 15 E. E. A. B. D. 16 17 18 19 20 C. B. E. D. A.