apling Learning cmilan learning A pitching machine is programmed to pitch baseba

Question

apling Learning cmilan learning A pitching machine is programmed to pitch baseballs horizontally at a speed of 79 mph. The machine is mounted on a truck and aimed backward. As the truck drives away from you at a speed of 45 mph, the machine shoots a ball toward you. For each of the object pairings listed below, determine the correct relative speed. 9& The speed of the The speed of the The speed of theThe speed of the relative to the truck relative to you to you 79 mph 45 mph 124 mph 160 mph 13 mph

Explanation / Answer

Assuming Left direction as negative and right as positive

Vm = velocity of machine relative to ground = - 45 mph

Vt = velocity of truck relative to ground = - 45 mph

Vmt = Velocity of machine relative to truck = Vm - Vt = - 45 - (- 45) = 0 mph

Vb = speed of ball relative to ground = 79 m/s

Vbt = velocity of ball relative to truck = Vb - Vt = 79 - (- 45) = 124 mph

Vu = velocity of us rleative to ground = 0 mph

Vmu = velocity of piching machine relative to us = Vm - Vu =  - 45 - 0 = - 45 mph

so speed of piching ball relative to us = 45 mph

Vbu = velocity of ball relative to us = Vb - Vu = 79 - 0 = 79 mph

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