A particle is moving such that its position c | vedclass

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

Question

(D) At time $t_1 = 0 \, s$,the position vector of the particle is $\vec{r}_1 = 2\hat{i} + 3\hat{j}$.At time $t_2 = 5 \, s$,the position vector of the

Vedclass · Accepted Answer

$\frac{11}{5}(\hat{i} + \hat{j})$

Vedclass · Answer

(D) At time $t_1 = 0 \, s$,the position vector of the particle is $\vec{r}_1 = 2\hat{i} + 3\hat{j}$.At time $t_2 = 5 \, s$,the position vector of the particle is $\vec{r}_2 = 13\hat{i} + 14\hat{j}$.The displacement $\Delta \vec{r}$ from $t = 0$ to $t = 5 \, s$ is given by $\Delta \vec{r} = \vec{r}_2 - \vec{r}_1$.$\Delta \vec{r} = (13\hat{i} + 14\hat{j}) - (2\hat{i} + 3\hat{j}) = 11\hat{i} + 11\hat{j}$.The average velocity $\vec{v}_{av}$ is defined as the total displacement divided by the total time interval $\Delta t = t_2 - t_1 = 5 - 0 = 5 \, s$.$\vec{v}_{av} = \frac{\Delta \vec{r}}{\Delta t} = \frac{11\hat{i} + 11\hat{j}}{5} = \frac{11}{5}(\hat{i} + \hat{j}) \, m/s$.

$A$ particle is moving such that its position coordinates $(x, y)$ are $(2 \, m, 3 \, m)$ at time $t = 0$,$(6 \, m, 7 \, m)$ at time $t = 2 \, s$,and $(13 \, m, 14 \, m)$ at $t = 5 \, s$. The average velocity vector $\vec{v}_{av}$ from $t = 0$ to $t = 5 \, s$ is:

Similar Questions

Consider the two statements related to circular motion in usual notations:
$A$. In uniform circular motion,$\vec{\omega}$,$\vec{v}$,and $\vec{a}$ are always mutually perpendicular.
$B$. In non-uniform circular motion,$\vec{\omega}$,$\vec{v}$,and $\vec{a}$ are always mutually perpendicular.

Choose the correct alternative$(s)$.

$A$ ball is projected from the ground at an angle of $\theta$ from the horizontal. The graph of kinetic energy $(K)$ versus time $(t)$ will be:

$A$ particle is moving along a curve. Then

$A$ body of mass $2 \, kg$ has an initial velocity of $3 \, m/s$ along $OE$ and it is subjected to a force of $4 \, N$ in a direction perpendicular to $OE$. The distance of the body from $O$ after $4 \, s$ will be ........... $m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module