Two particles start simultaneously from the same point and move along two straight lines making an angle α with each other. One move with uniform velocity u and the other with constant acceleration a and initial velocity zero.
Text Solution
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Let particle A is moving with uniform velocity and particle B is moving with constant acceleration.
At any time, velocity of B with respect to A is
= 
= 
V BA = 
= 
For relative velocity to be least
= 0 ⇒ 2a 2 t – 2uacos α = 0 ⇒ t = 
(V BA ) least = 
(V BA ) least = u sin α
At time t = 
distance between the two particles
s BA = 
= 
= 
= 
= 
s BA = 
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