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Additional items address relative motion (moving pilot effects), energy-free motion with negligible air resistance, coordinate-based kinematics over time, and interpreting velocity/acceleration directions at key 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A tennis ball is thrown off a cliff 10 m above the ground with an initial horizontal velocity of  \n5 m/s as shown above. The time between the ball leaving the cliff and hitting the ground is:  \n(A) 3~~ ~~22 s (B) 32~~  ~~ s (C) 2 s (D) 4 s (E) 5~~ ~~2 s  \n2. A tennis ball is thrown off a cliff 10 m above the ground with an initial horizontal velocity of 5 m/s as shown above. The horizontal range of the ball is:  \n(A) 3~~ ~~22 m (B) 32 m (C) 3 ~~ ~~2 m (D) 4 m (E) 5~~ ~~2 m  \n3. A person is on a motoboat that is capable of a maximum speed of 10 km/h in stillwater, and wishes to cross a 2 km wide river to a point directly across from the starting point. If the speed of the water in the river is 6 km/h, how much time is required for the crossing, assuming the boat is moving at its maximum speed?  \n(A) 0.25 hr (B) 0.10 hr (C) 0.35 hr (D) 0.40 hr (E) 0.50 hr  \n4. A projectile is fired from the surface of the Earth with a speed of 200 m/s at an angle of 45° above the horizontal. If the ground is level, what is the maximum height reached by the projectile?  \n(A) 1000 m (B) 2000 m (C) 3500 m (D) 4000 m (E) 5000 m  \n5. A projectile is fired from the surface of the Earth with a speed vo at an angle of 30° above the horizontal and hits a target at a range R from the starting point. If the ground is level, at what other angle above the horizontal could a second projectile be fired to hit the same target?  \n(A) 30° (B) 40° (C) 45° (D) 60° (E) 70°  \n6. A rock is dropped from the top of 80-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 40 meters apart. The horizontal velocity of the ball thrown was most nearly  \n(A) 5 m/s (B) 10 m/s (C) 14 m/s (D) 20 m/s (E) 40 m/s  \n7. At a particular instant, a student is on the ground sees a box falling with speed v 1 atan angle to the vertical. To a pilot flying horizontally at constant speed relative to the ground, the box appears to be falling vertically with a speed v 2 at that instant. What is the speed of the pilot relative to the ground?  \n(A) v1 + v2 (B) v1-v2 (C) v2-v1 (D) v 1 2 􀀐 v 2 2  (E) ~~ ~~v 1 2 􀀎 v 2 2   \n8. A marble is fired from a spring-loaded gun straight up and reaches a maximum height  \nh. The same gun is pointed at an angle of 30° above the horizontal, what is the maximum height the marble can reach?  \n(A) h/4 (B)  3h  (C) h/2 (D)  h  (E) h 2 ~~ ~~2 ~~ ~~2  \nQuestions 9-10  \nA marble is shot from the ground level and follows a parabolic path shown Air resistance is negligible. Point B is the highest point on the path.  \n9. Which best indicates the direction of the velocity, if any, of the marble at point B?  \n(A )  (B)  (C)  (D)   \n(E) The velocity is zero at point B.  \n10. Which of the following indicates the direction of the net acceleration of the marble at point C?  \n(A )  \n(B)  \n (C)  \n (D)  \n(E)   \n11. A projectile is launched from the ground level and its initial velocity has two components: vhor – horizontal component and vver– vertical component. Air resistance is negligible. When the projectile is at its highest, which of the following shows the vertical, horizontal components of its velocity and the vertical component of its acceleration?  \nVertical Horizontal Acceleration  \n(A) vver vhor 0  \n(B) vver 0 0  \n(C) 0 vhor 0  \n(D) 0 0 g  \n(E) 0 vhor g  \n12. A target at point X lies flat on the ground 8 m from the side of a cliff that is 20 m tall, as shown above. A physics student rolls a ball off the horizontal cliff in the direction of the target. Air resistance is negligible. The horizontal speed with which the ball must leave the top of the cliff if it is to strike the target is  \n(A) 4 m/s (B) 6 m/s (C) 12 m/s (D) 20 m/s (E) 24 m/s  \n13. A physics student wants to hit a target with a rubber band ball from 1.8 meters away. If he throws the ball at a speed of 6 m/s and ","cbCaioKqOGzKuiR4","https://ap.wps.com/l/cbCaioKqOGzKuiR4","pdf",520689,14,"English","# Multiple Choice Questions\n## Two-Dimensional Projectile Motion\n## Relative Motion and Coordinate Kinematics\n## Maximum Range and Direction of Velocity/Acceleration","[{\"question\":\"How is time of flight determined for a projectile launched horizontally off a cliff?\",\"answer\":\"Use the vertical motion to find time from the drop height, then compute horizontal motion using constant horizontal velocity during that same time.\"},{\"question\":\"What determines the maximum height of a projectile fired at an angle with level ground?\",\"answer\":\"Resolve the initial velocity into components, use vertical kinematics to find where vertical velocity becomes zero at the peak, and then compute the corresponding height change.\"},{\"question\":\"For ground-ground projectile motion, which statement is correct?\",\"answer\":\"The correct property is that the horizontal and vertical motions have different independent behaviors: horizontal velocity stays constant (ignoring air resistance) while vertical acceleration is set by gravity, leading to a correct true statement among the options.\"}]","PSI AP Physics C - Kinematics 2D Multiple Choice Questions - Practice | PDF",1790731056,35]