In historical movie, 2knights on horseback start from rest 88.0 meter apart and

Question

In historical movie, 2knights on horseback start from rest 88.0 meter apart and ridedirectly towards each other to do battle. Sir George'sacceleration has a magnitude of 0.3m/s2 , while SirAlred's acceleration was 0.2m/s2 . Relative to SirGeorge's starting point where do the knights collide? This was work out in class (not for our text)(the answer beingabout 52.8m) However I can not follow the thoughtprocess. In historical movie, 2knights on horseback start from rest 88.0 meter apart and ridedirectly towards each other to do battle. Sir George'sacceleration has a magnitude of 0.3m/s2 , while SirAlred's acceleration was 0.2m/s2 . Relative to SirGeorge's starting point where do the knights collide? This was work out in class (not for our text)(the answer beingabout 52.8m) However I can not follow the thoughtprocess.

Explanation / Answer

the distance each knight travels is givenby:     d = (1/2) a t2 . We can see that the distance each travels is proportional totheir acceleration (since they have the same time). This means thatfor every 0.3 meters that George travels, Alred only travels 0.2meters. Or... .                G =   (3/2)A              where G is george's distance and A is alred'sdistance. . We also know that the total distance they travel is 88m, so... .           G + A = 88.0 .     Or:          (3/2)A + A = 88.0 .            1.5 A + A = 88.0 .          2.5 A = 88.0 .      A =   35.2   meters . Alred travels   35.2 meters, so Georgetravels    88.0 - 35.2 =   52.8 meters . We can see that the distance each travels is proportional totheir acceleration (since they have the same time). This means thatfor every 0.3 meters that George travels, Alred only travels 0.2meters. Or... .                G =   (3/2)A              where G is george's distance and A is alred'sdistance. . We also know that the total distance they travel is 88m, so... .           G + A = 88.0 .     Or:          (3/2)A + A = 88.0 .            1.5 A + A = 88.0 .          2.5 A = 88.0 .      A =   35.2   meters . Alred travels   35.2 meters, so Georgetravels    88.0 - 35.2 =   52.8 meters

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