Two persons P and Q start from points A and B respectively as shown in figure. P and Q have speed v = 12 m/s in shown directions towards point O. when the distance between P and Q is 120m, then Q increases its speed to 15 m/s. Then find out who will reach the point O first.

Text Solution
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Position of P and Q when they are at distance 120 m at time t after motion start

Velocity of Q along y-direction is initially 12cos37º.
Later on it increases it to 15cos37º = 12 m/s
Earlier Q was travelling with less velocity along y direction. So, it will reach point O later.
So P reaches first at point O
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