In a historical movie, two knights on horseback start from rest 93 m apart and ride directly toward each other to do battle. Sir George's accleration has a magnitude of 0.22 m/s2, while Sir Alfred's has a magnitude of 0.34 m/s2. How far from Sir George's starting point do the knights collide?

2 answers

d1 + d2 = 93 m.
0.5a1*t^2 + 0.5a2*t^2 = 93,
0.11*t^2 + 0.17*t^2 = 93,
0.28t^2 = 93,
t^2 = 332.1,
t = 18.2 s. = Time elapsed before collision,

d1 = 0.11*(18.2)^2 = 36.4 m.= Distance
from Sir George's starting point.
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