Mathematics, 24.07.2020 19:01 Aley726
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 15 km/h. How fast is the distance between the ships changing at 4:00 PM
Answers: 1
and 
are the distances of ships A and B with respect to origin. ![\vec r_{A} = \left[\left(40\,\frac{km}{h} \right)\cdot t\right]\cdot i](/tpl/images/0712/5247/52370.png)
![\vec r_{B} = \left(170\,km\right)\cdot i +\left[\left(15\,\frac{km}{h} \right)\cdot t\right]\cdot j](/tpl/images/0712/5247/5f4fc.png)
![\vec r_{B/A} = (170\,km)\cdot i +\left[\left(15\,\frac{km}{h} \right)\cdot t\right]\cdot j-\left[\left(40\,\frac{km}{h} \right)\cdot t\right]\cdot i](/tpl/images/0712/5247/aa3c0.png)
![\vec r_{B/A} = \left[170\,km-\left(40\,\frac{km}{h} \right)\cdot t\right]\cdot i +\left[\left(15\,\frac{km}{h} \right)\cdot t\right]\cdot j](/tpl/images/0712/5247/fcc7b.png)
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