The 1 st Practice Problem : Two knights upon their horses are again facing each

Question

The 1st Practice Problem: Two knights upon their horses are again facing each other 88.0m apart preparing for a joust. Sir George’s horse has an acceleration of magnitude 0.300m/s2 and Sir Alfred’s horse has an acceleration of magnitude 0.200m/s2. They will both start from rest. This time, however Alfred has decided to turn his horse around and run away! Make certain you draw a picture and list all given information. Use George’s initial position as a reference, and determine where George will catch up with Alfred.

Explanation / Answer

x alfred = 88+0.5*0.2*t^2

x george = 0.5*0.3*t^2

they meet when xalfred = x george

88 + 0.5*0.2*t^2 = 0.5*0.3*t^2

88 = 0.5*0.1*t^2

t=41.952 s

x = 0.5*0.3*41.952^2=264 m

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