Question

a ship in still water sails 10 km east and then 7.5 km south find displacement and direction​

Answer 1

Answer:

displacement= 17.5 km & direction wi be south

Explanation:

displacement=10+7.5 =17.5 km

Answer 2

$\huge\mathbb{\orange{QUESTION-}}$

A ship in still water sails 10 km east and then 7.5 km south find displacement and direction

$\huge\mathbb{\orange{SOLUTION-}}$

$\large\underline{\underline{\sf Given:}}$

• A ship in still water sails 10 km east and then 7.5 km south

$\large\underline{\underline{\sf To\:Find:}}$

• Displacement & Direction .

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Refer to the attachment for fig.

Displacement ➝

$\implies{\sf s = \sqrt{(10)^2+(7.5)^2} }$

$\implies{\sf s = \sqrt{100+56.25} }$

$\implies{\sf s=\sqrt{156.25} }$

$\implies{\bf \red{ s=12.5\:km}}$

Direction ➝

$\implies{\sf tan\theta =\dfrac{10}{7.5} }$

$\implies{\bf \red{\theta = tan^{-1}\left(\dfrac{4}{3}\right)}}$

$\huge\mathbb{\orange{ANSWER-}}$

Displacement ⎯ ${\bf \red{12.5\:km}}$

Direction ⎯ ${\bf \red{\theta = tan^{-1}\left(\dfrac{4}{3}\right)}}$