The-velocity-of-particle-P-due-East-is-4-m-s-and-that-of-Q-is-3-m-s-due-South-What-is-the-velocity-of-P-w-r-t-Q-

Question Number 14922 by Tinkutara last updated on 05/Jun/17

The velocity of particle P due East is

4 m / s, and that of Q is 3 m / s due

South . What is the velocity of P w . r . t .

Q ?

Commented by ajfour last updated on 05/Jun/17

θ = \tan^{- 1} (\frac{3}{4}) n o r t h o f e a s t .

Commented by Tinkutara last updated on 05/Jun/17

Thanks Sir! My little confusion cleared .

Answered by ajfour last updated on 05/Jun/17

t a k e x a x i s a l o n g e a s t, y a l o n g

s o u t h : {\bar{v}}_{P} = 4 \hat{i}, {\bar{v}}_{Q} = 3 \hat{j}

∣ {\bar{v}}_{P} - {\bar{v}}_{Q} ∣=∣ 4 \hat{i} - 3 \hat{j} ∣ = \sqrt{{(4)}^{2} + {(- 3)}^{2}}

= 5 m / s .

Commented by Tinkutara last updated on 05/Jun/17

What will be the direction of this

velocity ?