Grade 9General Physics

A sailboat is traveling north at 10km/h relative to the water the water is flowing north at 5km/h what is the velocity of the boat releative to ground

luckybhai

7 Years agoGrade 9

2 Answers

Arun

7 Years ago

Dear student

$North=\vec j \\East=\vec i \\v_{boat,rel}=10j \\v_{water}=-5\vec i \\v_{boat}=10\vec j-5\vec i$

for angle take the dot product of above two

$cos(\theta)=\vec v_{boat}.\vec v_{water}/(|\vec v_{boat}|.|\vec v_{water}|)$

Hope it helps

Regards

Arun (askIITians fprum expert)

Khimraj

7 Years ago

let v=the velocity of the boat relative to the ground

let x=the distance covered on the ground by the boat during time t

let vb= the velocity of the boat relative to the water

let vr=the velocity of the water.

then

v=x/t

and v= the velocity of the boat and the water, since they are both in the same direction.

So v=vb+vr

and the distance covered relative to the ground would be:

x=(vb+vr)*t

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A sailboat is traveling north at 10km/h relative to the water the water is flowing north at 5km/h what is the velocity of the boat releative to ground

luckybhai

2 Answers

Arun

Khimraj

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