Question

To the captain of ship A, which is traveling with a velocity of (3i + 4j)km/hr, a second ship B appears to have a velocity of (5i + 12j) km/hr. What is the true velocity of ship B?

Answer 1

Step 1:Given:

$V_A=3i+4j$

$V_{BA}=5i+12j$

Step 2:Calculate the true velocity of the ship B:

Both are moving in the same direction So the relative vector would be the difference between them.

$$\begin{gathered} V_{BA}=V_B-V_A \\ \left(5i+12j\right)=V_B-\left(3i+4j\right) \\ {V}_B=2i+8j \end{gathered}$$

Hence true velocity is $2i+8j$.