Question

A moves with a constant velocity u along the x axis B always have velocity towards a if a and b are inclined atban angle thetha with each other then time taken by them to meet each other is? please reply urgently​

Answer 1

Answer:

11th

Physics

Motion in a Plane

Relative Motion in 2 Dimension

A moves with constant veloc...

PHYSICS

Asked on December 27, 2019 bySiddhanti Yaswanth

A moves with constant velocity u along then x-axis. B always has velocity towards A. After how much time will B meet A if B moves with constant speed V? What distance will be travelled by A and B?



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ANSWER

Let at any instant the velocity of B makes an angle α with that of x-axis and the time to collide is T.

Vapp=V−ucosα

l=∫0TVappdt

=∫0T(V−ucosα)dt                  ...(i)

Now equating the displacement of A and B along x direction, we get

uT=∫Vcosαdt

Now from (i) and (ii), we get

l=VT−∫0Tucosαdt

=VT−Vu∫0TVcosαdt=VT−Vv.uT

⇒T=v2−u2lV

Now distance travelled by A and B

=u×v2−u2lV and v×v2−u2

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