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 Q1. The velocity of a particle moving along x-axis is directly proportional to 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.






6 years ago


Answers : (2)


Dear aparna,

v=ax where a is a constant



On integrating we get



By putting the values given we can calculate c

 and hence x...

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

6 years ago


 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


 putting values of constants in eq 1

 we get logx=log2(t/10 +1)

at t =5


             x=2^3/2 units

6 years ago

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