The velocity of a particle having a magnitude | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The velocity vector $\vec{v}$ can be resolved into its rectangular components along the $X$ and $Y$ axes.Given magnitude $v = 10 \ m/s$ and angle

Vedclass · Accepted Answer

$5 \hat{i}+5 \sqrt{3} \hat{j}$

Vedclass · Answer

(D) The velocity vector $\vec{v}$ can be resolved into its rectangular components along the $X$ and $Y$ axes.Given magnitude $v = 10 \ m/s$ and angle $	heta = 60^{\circ}$.The components are given by:$v_x = v \cos 	heta = 10 \cos 60^{\circ} = 10 	imes \frac{1}{2} = 5 \ m/s$$v_y = v \sin 	heta = 10 \sin 60^{\circ} = 10 	imes \frac{\sqrt{3}}{2} = 5 \sqrt{3} \ m/s$Thus, the velocity vector is $\vec{v} = v_x \hat{i} + v_y \hat{j} = 5 \hat{i} + 5 \sqrt{3} \hat{j} \ m/s$.

The velocity of a particle having a magnitude of $10 \ m/s$ in the direction of $60^{\circ}$ with the positive $X$-axis is:

Similar Questions

Find the magnitude and direction of the vectors $\hat{i}+\hat{j}$ and $\hat{i}-\hat{j}$. What are the components of a vector $\vec{A}=2\hat{i}+3\hat{j}$ along the directions of $\hat{i}+\hat{j}$ and $\hat{i}-\hat{j}$?

What is the maximum number of components into which a vector can be resolved?

$A$ force of $5 \ N$ acts on a particle along a direction making an angle of $60^{\circ}$ with the vertical. Its vertical component will be $......... \ N$.

$A$ man walks $20\,m$ at an angle $60^{\circ}$ north of east. How far towards the east has he travelled?

The angles which the vector $\vec{A} = 3\hat{i} + 6\hat{j} + 2\hat{k}$ makes with the coordinate axes are

Vedclass Test Series

Exam Paper Generator

Online Exam Module