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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.

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear aparna,

v=ax where a is a constant

dx/dt=ax

On integrating we get

lnx=at+c

By putting the values given we can calculate c

and hence x...

All the best.

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Sagar Singh

B.Tech, IIT Delhi

509 Points
11 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