CHAPTER 3KINEMATICS IN TWO DIMENSIONSANSWERS TO FOCUS ON CONCEPTS QUESTIONS1. (a) The horizontal component vxof the projectile’s velocity remains constant throughout the motion, since the acceleration axin the horizontal direction is zero (ax= 0 m/s2). The vertical component vy, however, changes as the projectile moves. This component is greatest at point 1, decreases to zero at point 2 at the top of the trajectory, and then increases to a magnitude less than that at point 1 as the projectile approaches point 3. 3. (c) The acceleration due to gravity is the same for both balls, despite the fact that they have different velocities. 4. (d) The acceleration of a projectile is the same at all points on the trajectory. It points downward, toward the earth, and has a magnitude of 9.80 m/s2. 6. (c) The time for a projectile to reach the ground depends only on the ycomponent (or vertical component) of its variables, i.e., y, v0y, and ay. These variables are the same for both balls. The fact that Ball 1 is moving horizontally at the top of its trajectory does not play a role in the time it takes for it to reach the ground. 14. (c) The velocity vPCof the passenger relative to the car is given by vPC= vPB+ vBC, according to the subscripting method discussed in Section 3.4. However, the last term on the right of this equation is given by vBC= vBG+ vGC. So, vPC= vPB+vBG+ vGC= +2 m/s + 16 m/s + (−12 m/s) = +6 m/s. 16. The magnitude vABof the velocity of car A relative to car B is vAB= 34.2 m/s. The angle that the velocity vABmakes with respect to due east is θ= 37.9°south of east.
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