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Leona [35]
2 years ago
12

The water in a river moves south at 10 mi/hr. A motorboat travels due east at a speed of 20 mi/hr relative to the shore. Determi

ne the speed and direction of the boat relative to the moving water.
Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0

Answer:22.36 mi/hr

Step-by-step explanation:

Given

water in a river moves south at (V_w)10 mi/hr

motorboat travels due to east at a speed of (V_b)20 mi/hr

Velocity of boat relative to the moving water V_{bw}

V_{bw}=V_b-V_w

V_{bw}=20i-(-10j)=20i+10j

Magnitude of V_{bw}=\sqrt{20^2+10^2}=\sqrt{500}

V_{bw}=10\sqrt{5} \approx 22.36 mi/hr

tan\theta =\frac{10}{20}

\theta =26.56^{\circ} with the x axis.

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