Two people, A and B, are running toward each other. Initially, they are 24m apart. • A starts from rest and is running with constant acceleration of 2m/s2 toward B. . B runs toward A at constant velocity of 5m/s. How far does B run in [m] until the two meet each other?
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Expert's answer
2021-05-16T17:59:48-0400
They reach each other in a time equal for both runners. Assume A runs x meters and B runs y meters:
t=a2x=vy,
and x+y is the total distance between them:
x+y=d.
Express x in terms of y:
x=d−y,a2(d−y)=vy,
re-arrange this into a quadratic equation:
y2a+2yv2−2vd=0,y=2(a)−(2v2)+(2v2)2+4(2v2d)(a)=15 m.
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