Question

23. Two particles start simultaneously from the same point
and move along two straight lines, one with uniform
velocity u and the other from rest with uniform
->
acceleration f. Let a be the angle between their directions
of motion. Find the time after which relative velocity of the
second particle w.r.t. the first particle is minimum.​

Answer 1

Answer:

PHYSICS

start simultaneously from the same point and move along two straight lines, one with uniform velocity v and other with a uniform acceleration a. If α is the angle between the lines of motion of two particles then the least value of relative velocity will be at time given by

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ANSWER

V=a×t

V

BA

=a t+(−u)

V

BA

2

=a

2

t

2

+u

2

−2au+cosα

For maximum and minimum

dt

d(V

BA

2

)

=0

2a

2

t−2au cosα

t=

a

u cosα