Question

y component of velocity is 20 and x component of velocity is 10. The direction of motion of the body with the horizontal at this instant is..​

Answer 1

Answer:

By the given condition

y component of velocity is 20

x component of velocity is 10

Let θ be the direction of motion of the body with the horizontal at this instant

Then

tanθ = y component of velocity / x component of velocity

➙ tanθ = 20/10

➙ tanθ = 2

➙ θ = Arc tan (2)

Hence the direction of motion of the body with the horizontal at this instant Arc tan (2)

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Answer 2

Answer:

Image

In the above graph, it represents the y component = 20

And the x component = 10

From the question, we can form a triangle.

\tan { \theta  } \quad =\quad \frac { Opposite\quad side }{ Adjacent\quad side }tanθ =AdjacentsideOppositeside

\tan { \theta  } \quad =\quad \frac { 20 }{ 10 }tanθ =1020

\tan { \theta  } \quad =\quad 2tanθ =2

\theta \quad =\quad \tan ^{ -1 }{ 2 }θ=tan−12