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Q.

The drawing shows velocity (v) versus time (t) graphs for two cyclists moving along the same straight segment of a highway from the same point. The first cyclist starts at t = 0 min and the second cyclist starts moving at t = 3.0 min. Find the time at which the two cyclists meet in minutes (Both velocity-time curves intersect at t = 4 min)

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answer is 6.

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Detailed Solution

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From the slopes on the graph, we can obtain the ratio of accelerations of the two cyclists:  a2a1=(v'043)(v'04)=4.

The distances travelled by the two cyclists must be equal: a1t22=a2(t3)22;a2a1=(tt3)2tt3=2;t=6min.

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