# Objects A and B are at the origin. If object A moves to (2 ,3 ) and object B moves to (5 ,8 ) over 4 s, what is the relative velocity of object B from the perspective of object A?

Apr 11, 2016

$v = \frac{6}{4} = 1 , 5 \text{ unit/s}$

$\angle = 59 , {04}^{o}$

#### Explanation:

$\text{displacement of B from perspective of A:}$
$A B = \sqrt{{\left(5 - 2\right)}^{2} + \left(8 - {3}^{2}\right)}$
$A B = \sqrt{{3}^{2} + {5}^{2}} = \sqrt{9 + 25} = \sqrt{36}$
$A B = 6 \text{ unit}$

$v = \frac{\overline{A B}}{t}$

$v = \frac{6}{4} = 1 , 5 \text{ unit/s}$

$\angle = 59 , {04}^{o}$