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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.

```
7 years ago

## Answers : (2)

SAGAR SINGH - IIT DELHI
879 Points
```										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...

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```
7 years ago
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
```
7 years ago
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