Problem

The boats A and B travel with constant speeds of vA = 15 m/s and vB = 10 m/s when they lea...

The boats A and B travel with constant speeds of vA = 15 m/s and vB = 10 m/s when they leave the pier at O at the same time. Determine the distance between them when t = 4 s.

Step-by-Step Solution

Solution 1

Speed of boat is

Speed of boat is

Velocity of the boat in Cartesian vector form is expressed as

Velocity of the boat in Cartesian vector form is expressed as

From the relative velocity equation, we have

Accordingly, we have

Magnitude of velocity is expressed as

Magnitude of velocity is

Distance between the two boats is expressed as

Distance between the two boats is

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