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Q1. The velocity of a particle moving along x-axis is directly proportional to x.at time t=0 x=2 and at t=10 x=4.Determine the position at t=5.Q2.A bird is flying with velocity 5i+6j wrt wind and wind is blowing along x-axis with velocity u.If bird starts moving from A and after sometime reaches point B with ab making an angle of 37 deg with x-axis.Find the value of u.

Aparna Tiwari , 14 Years ago
Grade 12
anser 2 Answers
SAGAR SINGH - IIT DELHI

Last Activity: 14 Years ago

Dear aparna,

v=ax where a is a constant

dx/dt=ax

dx/x=adt

On integrating we get

lnx=at+c

 

By putting the values given we can calculate c

 and hence x...

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

vikas askiitian expert

Last Activity: 14 Years ago

v=kx

 dx/dt =kx

  integrating both sides

 logx = kt + c ........1

 at t=0 , x is 2

  log2=c .......2

 at t=10, x is 4

   log4=10k + c

   2log2=10k + log2

     k=log2/10...,..3

 putting values of constants in eq 1

 we get logx=log2(t/10 +1)

at t =5

           logx=(3/2)log2

             x=2^3/2 units

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