Chapter 4107*P4.60(a)We use the approximation mentioned in the problem. The time to travel 200 m horizontally istxvx===∆20010000200mmss,.. The bullet falls by∆yvt atyiy=+=+−=−120129802019622...sm2ejaf.(b)The telescope axis must point below the barrel axisby θ°−tan..120000561mm.(c)t50 000500..ms . The bullet falls by only∆y=−=−12005001222.sm2af.50150 200 250barrel axisbullet pathscope axisFIG. P4.60(b)At range 5014200m m=af, the scope axis points to a location 1419 64 90cmcmaf=above thebarrel axis, so the sharpshooter must aim low by 490122368.cmcmcm−=.(d)ty=15001501201501102mssm2..∆afAim low by 15020019 611 03 68...cmcmcmaf.(e)ty=25002501202503062mssm2..∆afAim high by 30 625020019 66cmcm.12 cm.(f), (g)Many marksmen have a hard time believing it, butthey should aim low in both cases. As in case (a) above,the time of flight is very nearly 0.200 s and the bulletfalls below the barrel axis by 19.6 cm on its way. The
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