(A) Given: $v_y = 20$ and $v_x = 10$.The velocity vector is given by $\vec{v} = v_x \hat{i} + v_y \hat{j} = 10 \hat{i} + 20 \hat{j}$.The direction of

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(A) Given: $v_y = 20$ and $v_x = 10$.The velocity vector is given by $\vec{v} = v_x \hat{i} + v_y \hat{j} = 10 \hat{i} + 20 \hat{j}$.The direction of motion $\theta$ with the horizontal ($X$-axis) is given by the formula:$\tan \theta = \frac{v_y}{v_x}$Substituting the given values:$\tan \theta = \frac{20}{10} = 2$Therefore,the angle $\theta$ is:$\theta = \tan^{-1}(2)$.

Class 11 Physics 3-1.Vectors Resolution of a Vector into Rectangular Components

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The $Y$-component of velocity is $20$ and the $X$-component of velocity is $10$. The direction of motion of the body with the horizontal at this instant is

A
$\tan^{-1}(2)$
B
$\tan^{-1}(1/2)$
C
$45^\circ$
D
$0^\circ$

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3-1.Vectors

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Resolution of a Vector into Rectangular Components

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The $Y$-component of velocity is $20$ and the $X$-component of velocity is $10$. The direction of motion of the body with the horizontal at this instant is

Similar Questions

The projection of a vector $\vec{r} = 3\hat{i} + \hat{j} + 2\hat{k}$ on the $xy$-plane has magnitude:

$A$ plane covers $500 \,m$ in a direction $60^o$ with the runway while starting the flight. Find the distance covered by the plane in the horizontal and vertical directions.

What is the maximum number of components a vector can have when resolved in a plane?

If $\vec{A} = \hat{i} A \cos \theta + \hat{j} A \sin \theta$ is a vector,then another vector $\vec{B}$ which is perpendicular to $\vec{A}$ is given by:

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