Calculating Velocity of Boater in Relation to Shore

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In summary, a person is boating across a body of water with a velocity of 3.2 m/s[N]. When a wind with a velocity of 1.2m/s[N20E] starts, it changes the path of the boater. To find the velocity of the boater relative to the shore, the equations V1x=0, V1y=3.2, V2x=1.2cos20, and V2y=1.2sin20 should be used. However, the wind direction given in the problem is N20E, so there should be no minus sign in the equation. This may result in an incorrect answer, as the water may not necessarily move at the speed
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homevolend
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Homework Statement



A person is boating across a body of water with velocity 3.2 m/s[N]. Wind with a velocity 1.2m/s[N20E] starts and changes path of boater.. What is velocity of boater relative to shore?

Homework Equations



nie


The Attempt at a Solution



V1x=0
V1y=3.2

V2x=1.2cos20
V2x=1.1

V2y=-1.2sin20
V2y=-.04

Vx=0 + 1.1=1.1
Vy=3.2 - 0.4=2.8


Then doing the Vx=1.12 + 2.22 then rooting that I didnt get the right answer.

I also tried to manipulate the Vy and change it with different numbers but still got the wrong answer? What would I need to do?


Thanks.
 
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  • #2
V2y=-1.2sin20
The wind is N20E, so there should be no minus sign.

Poor question. We can only do it by assuming the water will move at the speed of the wind, but that isn't very likely.
 
  • #3
Yeah its a shame, thanks for the help Il just try with no minus sign and get the answer.\\
 

Related to Calculating Velocity of Boater in Relation to Shore

1. How do you calculate the velocity of a boater in relation to the shore?

To calculate the velocity of a boater in relation to the shore, you need to know the distance between the boater and the shore, as well as the time it takes for the boater to travel that distance. Then, you can use the formula: velocity = distance/time. This will give you the boater's velocity in meters per second or miles per hour.

2. Is the velocity of a boater in relation to the shore affected by the direction of the boater's movement?

Yes, the direction of the boater's movement can affect the velocity in relation to the shore. If the boater is moving towards the shore, the velocity will be positive. If the boater is moving away from the shore, the velocity will be negative. The direction of the velocity can also be represented by an arrow pointing towards the direction of movement.

3. Can the velocity of a boater in relation to the shore vary?

Yes, the velocity of a boater in relation to the shore can vary depending on factors such as wind speed, current, and the boater's own speed. These factors can increase or decrease the boater's velocity, resulting in a different value.

4. How can you use the velocity of a boater in relation to the shore in real world scenarios?

The velocity of a boater in relation to the shore can be used to determine how long it will take for the boater to reach a specific destination on the shore. It can also be used to calculate the boater's average speed and make predictions about their future movements on the water.

5. What are some common units used to measure the velocity of a boater in relation to the shore?

The most common units used to measure velocity are meters per second (m/s) and miles per hour (mph). However, depending on the situation, other units such as knots, kilometers per hour, or feet per second may also be used.

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