A person travelling on a straight line moves with a uniform velocity v1 for a distance x and with a uniform velocity v2 for the next 32x distance. The average velocity in this motion is 507 m/s. If v1 is 5 m/s then v2 = m/s.
10
Total distance = x + 32x = 52x and total time = xv1 + 3x2v2 = x5 + 3x2v2, so
vav = 52x x5 + 3x2v2 = 507
15 + 32v2 = 52 750 = 720
32v2 = 720 - 420 = 320
v2 = 10 m/s
Answer: 10
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