A man at point A directs his rowboat due north toward point B, straight across a river of width 100 m. The river current is due
east. The man starts across, rowing steadily at 0.75 m/s and reaches the other side of the river at point C, 150 m downstream from his starting point. While the man is crossing the river, what is his velocity relative to the shore?
1 answer:
Answer:
1.35208 m/s
Explanation:
Speed of the boat = 0.75 m/s
Distance between the shores = 100 m
Time = Distance / Speed
Time taken by the boat to get across is 133.33 seconds
Point C is 150 m from B
Speed = Distance / Time
Velocity of the water is 1.125 m/s
From Pythagoras theorem
So, the man's velocity relative to the shore is 1.35208 m/s
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Answer: 154.08 m/s
Explanation:
Average acceleration is the variation of velocity
over a specified period of time
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Where:
being
the initial velocity and
the final velocity
Then:
Since :
Finding :
Finally: