A particle covers one-third of a distance with speed v and remaining two-thirds with speed kv. Its average speed is:
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Question

A particle covers one-third of a distance with speed v and remaining two-thirds with speed kv. Its average speed is:

G1 Physics · Accepted Answer

Let total distance be D. Time = D/(3v) + 2D/(3kv) = D/(3v)(1+2/k) = D(k+2)/(3kv). Therefore average speed = D / time = 3kv/(k+2).