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Aparna Tiwari Grade: 12
        

 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.


 


 


 


 


 

6 years ago

Answers : (2)

SAGAR SINGH - IIT DELHI
879 Points
										

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







6 years ago
vikas askiitian expert
510 Points
										

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

6 years ago
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