A Ship ‘A’ streams due north at a speed of 8 kmph and ship B due west at a speed of 6 kmph. The velocity of A w.r.t. B is.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

10 kmph, tan^–1(4/3) E of N

10 kmph, tan^–1(4/3) N of E

2 kmph, tan^–1(4/3) N of E

10 kmph NE

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$θ = t {an}^{- 1} (\frac{4}{3}) alongN of E$

${\bar{V}}_{A B} = {\bar{V}}_{A} - {\bar{V}}_{B}; {\bar{V}}_{A} = 8 \hat{j}, {\bar{V}}_{B} = - 6 {\hat{i}}^{}$

${\bar{V}}_{A B} = {\bar{V}}_{A} - {\bar{V}}_{B} = 8 \hat{j} + 6 \hat{i}$

$|{\bar{V}}_{A B}| = 10 kmph$

$t an θ = \frac{8}{6} = \frac{4}{3}$
$θ = {Tan}^{- 1} (\frac{4}{3}) alongN of E$

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE