Question

The width of a river is 2√3km. Aboat is rowed
in direction perpendicular to the banks of
river. If the drift of the boat due to flow is 2
km, the displacement of the boat is.
1) 3 km 2) 6km 3) 5 km 4) 4​

Answer 1

Answer:

4km

Explanation:

given that,

width=$2\sqrt{3}$

drift=2km

distance=$\sqrt{width^{2} }+ drift^{2}$

             =$\sqrt{12+4}$

             =$\sqrt{16}$

             =4km    

Answer 2

Given that,

Width of river = 2√3 km

If the drift of the boat due to flow is 2 km.

Let the displacement is AC.

According to question,

If AB is width of river and the drift of the boat due to flow is BC.

We need to calculate the displacement of the boat

Using formula of displacement

$AC=\sqrt{AB^2+BC^2}$

Put the value into the formula

$AC=\sqrt{(2\sqrt{3})^2+(2)^2}$

$AC=4\ km$

Hence, The displacement of the boat is 4 km.

(4) is correct option.

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Topic : Displacement

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