Since the kayakers speed is 1.5 meters per second relative to the stream, the kayakers velocity in meters per second relative to the shore should be its speed relative to the stream plus the stream's velocity relative to the shore. This is 1.5m/s + 3.0m/s which is equal to 4.5 meters per second (m/s).
The relative speed of Kayaker and the offshore is 4.5 m/s.
The given parameters;
The relative speed of the stream and the offshore is calculated as;
[tex]V_s - V_o = 3\\\\V_s = 3 + V_o[/tex]
The relative speed of the Kayaker and the stream is calculated as;
[tex]V_k - V_s = 1.5[/tex]
The relative speed of Kayaker and the offshore is calculated as follows;
[tex]V_k - (3 + V_o) = 1.5\\\\V_k - V_o - 3 = 1.5\\\\V_k - V_o = 1.5 + 3\\\\V_k-V_o = 4.5 \ m/s[/tex]
Thus, the relative speed of Kayaker and the offshore is 4.5 m/s.
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