A boat is travelling at 8.9km/h relative to the water in the river.The boat aims straight for the opposite bank of the river which is 120.9m wide,if the speed of water in the river is 2.9km/h.how far down stream will the boat be when it reaches the opposite side
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First stage I to determine the time that the boat will use to move to other opposite bank,then after getting the time the next step is find the distance that a boat will move to other river bank
I need assistance to that question above
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To find the distance down stream that the boat will be when it reaches the opposite side, we need to break the boat's velocity into two components: horizontal and vertical.
The horizontal component of the boat's velocity is its speed relative to the water, which is 8.9 km/h. The vertical component of the boat's velocity is the speed of the river current, which is 2.9 km/h.
Since the boat aims straight for the opposite bank, the horizontal component will determine the time it takes for the boat to cross the river. We can use the formula:
time = distance / velocity
The distance is the width of the river, which is 120.9 m (converted to km: 120.9/1000 = 0.1209 km)
The velocity is the boat's speed relative to the water, which is 8.9 km/h.
time = 0.1209 km / 8.9 km/h
time = 0.0136 hours
Now that we know the time, we can calculate the distance downstream that the boat will be:
distance downstream = vertical component of velocity * time
The vertical component of velocity is the speed of the river current, which is 2.9 km/h.
distance downstream = 2.9 km/h * 0.0136 hours
distance downstream = 0.0394 km
Therefore, the boat will be approximately 0.0394 km (or 39.4 m) downstream when it reaches the opposite side.
The horizontal component of the boat's velocity is its speed relative to the water, which is 8.9 km/h. The vertical component of the boat's velocity is the speed of the river current, which is 2.9 km/h.
Since the boat aims straight for the opposite bank, the horizontal component will determine the time it takes for the boat to cross the river. We can use the formula:
time = distance / velocity
The distance is the width of the river, which is 120.9 m (converted to km: 120.9/1000 = 0.1209 km)
The velocity is the boat's speed relative to the water, which is 8.9 km/h.
time = 0.1209 km / 8.9 km/h
time = 0.0136 hours
Now that we know the time, we can calculate the distance downstream that the boat will be:
distance downstream = vertical component of velocity * time
The vertical component of velocity is the speed of the river current, which is 2.9 km/h.
distance downstream = 2.9 km/h * 0.0136 hours
distance downstream = 0.0394 km
Therefore, the boat will be approximately 0.0394 km (or 39.4 m) downstream when it reaches the opposite side.
Given the relative velocity of boat to water=8.9km/h
Speed of water in a river=2.9km/h
Wider of bank=120.9m
Therefore we just relate
8.9km/h=120.9m
2.9km/h=?
Cross multiplication we get 39.39m wide
Speed of water in a river=2.9km/h
Wider of bank=120.9m
Therefore we just relate
8.9km/h=120.9m
2.9km/h=?
Cross multiplication we get 39.39m wide
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