1. The graph shows the variation with time t of the velocity v of an object. v t Which one of the following graphs best represents the variation with time t of the acceleration a of the object? A. a 0 C. B. 0 0 0 t a D. 0 t a 0 t 0 t a 0 (1) 2. The diagram below shows the path of a projectile in the absence of air resistance. Vertical position Horizontal position 1 Which one of the following diagrams best represents the path of the projectile under the same initial conditions when the air resistance is taken into account? (The path in absence of air resistance is shown for comparison as a dotted line.) A. B. Vertical position Vertical position Horizontal position C. Horizontal position D. Vertical position Horizontal position Vertical position Horizontal position (1) 3. A ball is released from rest near the surface of the Moon. Which one of the following quantities increases at a constant rate? A. Only distance fallen B. Only speed C. Only speed and distance fallen D. Only speed and acceleration (1) 2 4. A stone is thrown from O at an angle to the horizontal. Which sketch below best shows the path of the stone when air resistance is not neglected? On each sketch, the broken line shows the path for the same stone in a vacuum. A. B. O C. O D. O O (1) 5. Peter and Susan both stand on the edge of a vertical cliff. V (Peter) V (Susan) Sea 3 Susan throws a stone vertically downwards and, at the same time, Peter throws a stone vertically upwards. The speed V with which both stones are thrown is the same. Neglecting air resistance, which one of the following statements is true? A. The stone thrown by Susan will hit the sea with a greater speed than the stone thrown by Peter. B. Both stones will hit the sea with the same speed no matter what the height of the cliff. C. In order to determine which stone hits the sea first, the height of the cliff must be known. D. In order to determine which stone hits the sea first both the height of the cliff and the mass of each stone must be known. (1) 6. A ball is dropped from rest at time t = 0 on to a horizontal surface from which it rebounds. Which one of the following graphs best shows the variation of speed v of the ball with time t from the time t = 0 to the time that the ball leaves the surface? A. B. v 0 C. v 0 D. v 0 0 t 0 t 0 t 0 t v 0 (1) 4 7. Which one of the following is a true statement concerning the vertical component of the velocity and the acceleration of a projectile when it is at its maximum height? (The acceleration of free fall is g.) Vertical component of velocity Acceleration A. maximum zero B. maximum g C. zero zero D. zero g (1) 8. The diagram below shows the variation with time t of the velocity v of an object. v 0 0 t The area between the line of the graph and the time-axis represents A. the average velocity of the object. B. the displacement of the object. C. the impulse acting on the object. D. the work done on the object. (1) 5 9. A stone X is thrown vertically upwards with speed v from the top of a building. At the same time, a second stone Y is thrown vertically downwards with the same speed v as shown. v X Y v Building Air resistance is negligible. Which one of the following statements is true about the speeds with which the stones hit the ground at the base of the building? A. The speed of stone X is greater than that of stone Y. B. The speed of stone Y is greater than that of stone X. C. The speed of stone X is equal to that of stone Y. D. Any statement about the speeds depends on the height of the building. (1) 10. Which one of the following is a correct definition of displacement? A. Distance from a fixed point B. Distance moved from a fixed point C. Distance from a fixed point in a given direction D. Distance moved in a given direction (1) Answer Key: 1. A 2. A 3. B 4. B 5. B 6. A 7. D 8. B 9. C 10. C 6