1.3 At time t = 0 a ball is thrown with speed v at an angle...

 

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1.3 At time t = 0 a ball is thrown with speed v at an angle # above a slope that is itself inclined at an angle FIGURE 1.19 (Problem 1.8) is 1. The policeman wishes to shoot the robber with a gun whose muzzle velocity is uo. At what angle 0 above the horizontal should he point his gun? First solve this problem using coordinates traveling with the policeman, as shown in Fig. 1.19. Then sketch the solution using coordinates fixed to the ground; is the angle of the gun the same as the angle of the bullet's initial velocity in this frame? (The advantages of the first frame are not overwhelming; nevertheless, it is clearly the natural choice for the problem.) 1.3 At time t = 0 a ball is thrown with speed v at an angle # above a slope that is itself inclined at an angle FIGURE 1.19 (Problem 1.8) is 1. The policeman wishes to shoot the robber with a gun whose muzzle velocity is uo. At what angle 0 above the horizontal should he point his gun? First solve this problem using coordinates traveling with the policeman, as shown in Fig. 1.19. Then sketch the solution using coordinates fixed to the ground; is the angle of the gun the same as the angle of the bullet's initial velocity in this frame? (The advantages of the first frame are not overwhelming; nevertheless, it is clearly the natural choice for the problem.)