Question

A person rows his boat in a stream with a speed of 2.0 m/s. Water in the stream is flowing perpendicular to the direction of he flow, find graphically his resultant velocity?
Ans- 2.5 m/s

Answer 1

Given:

A person rows his boat in a stream with a speed of 2.0 m/s. Water in the stream is flowing perpendicular to the direction of he flow

To find:

Find graphically his resultant velocity?

Solution:

From given, we have,

A person rows his boat in a stream with a speed of 2.0 m/s. Water in the stream is flowing perpendicular to the direction of the flow.

Consider the attached figure while going through the following steps.

The resultant velocity V is given by,

V² = Vb² + Vw²

where, Vb = velocity of the boat

Vw = velocity of water

V² = 2² + x²

V² = 4 + x²

V = √(4 + x²)

assuming the velocity of water to be 1.5 m/s, we get the resultant velocity as,

V = √(4 + 1.5²)

V = √(4 + 2.25)

V = √6.25

∴ V = 2.5 m/s

Hece the required resultant velocity.

Answer 2

Answer:

2.5m/s is the final velocity of the boat. Consider the following image for example.

Explanation:

We have chosen a right angled triangle since the boat and the flow of water is perpendicular in the stream as you would have usually seen near banks of rivers. Now, we can use the Pythagoras theorem here:-

Base² + Height² = Hypotenus²

Velocity of Boat²+Velocity of Water(say x)²=Resultant Velocity(V)²

2²+x²=V²

4+x²=V²

$\sqrt[2]{4+x^{2} }$=V

Now assume that the perpendicular velocity of water is 1.5m/s.

Then,

$\sqrt{4+1.5^{2} } =V$

$\sqrt{4+2.25} =V$

$\sqrt{6.25}$=V

2.5m/s=V

Therefore, the resultant velocity of the boat is 2.5m/s.

Thankyou.

Hope you found this answer helpful, please mark me the brainliest if you found me worthy for it.