Question

a velocity vector v makes an angle 60° with y axis . what is tye x and y components of the displacement ​

Answer 1

Answer:

Let the vector is A having magnitude a and making an angle x with x axis.so, the components are

acosx=n+1

asinx=1

When coordinates are rotated by 600, the angle can be x+60orx−60 ,the new coordinates are

acos(x±60)=n

asin(x±60)=3

Now, solving four equations we get

acos(x±60)=a(cosxcos60±sinxsin60)

n=a(

2

1

cosx±

2

3

sinx)

put,acosx=n+1andasinx=1

so,n=1±

3

n depends on direction of rotation.