The initial velocity of a projectile is vec{u | vedclass

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

Question

(D) The final velocity $\vec{v}$ is given by the equation of motion: $\vec{v} = \vec{u} + \vec{a}t$.Given $\vec{u} = (4\hat{i} + 3\hat{j})\,m/s$,$\vec

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(D) The final velocity $\vec{v}$ is given by the equation of motion: $\vec{v} = \vec{u} + \vec{a}t$.Given $\vec{u} = (4\hat{i} + 3\hat{j})\,m/s$,$\vec{a} = (0.4\hat{i} + 0.3\hat{j})\,m/s^2$,and $t = 10\,s$.Substituting the values:$\vec{v} = (4\hat{i} + 3\hat{j}) + (0.4\hat{i} + 0.3\hat{j}) 	imes 10$$\vec{v} = (4\hat{i} + 3\hat{j}) + (4\hat{i} + 3\hat{j})$$\vec{v} = 8\hat{i} + 6\hat{j}\,m/s$.The magnitude of the velocity is $|\vec{v}| = \sqrt{v_x^2 + v_y^2}$.$|\vec{v}| = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10\,m/s$.

The initial velocity of a projectile is $\vec{u} = (4\hat{i} + 3\hat{j})\,m/s$. It is moving with uniform acceleration $\vec{a} = (0.4\hat{i} + 0.3\hat{j})\,m/s^2$. The magnitude of its velocity after $10\,s$ is.........$m/s$.

Similar Questions

The velocities of two particles $A$ and $B$,separated by a distance of $20 \ m$,are as shown in the figure. Find the angular velocity of $B$ with respect to $A$ in $rad/s$.

$A$ particle moves in space according to the equation $\vec{r} = (\sin t \hat{i} + \cos t \hat{j} + t \hat{k}) \text{ m}$. Find the time $t$ when the position vector and acceleration vector are perpendicular to each other.

$A$ particle is projected with a velocity $v$ such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is ($g=$ acceleration due to gravity).

Two objects of equal mass are projected with the same velocity $v$ at the same angle $\theta$ towards each other from a distance $R$. What is the momentum of the system at the moment of collision?

$A$ particle has an initial velocity of $(3\hat i + 4\hat j) \; ms^{-1}$ and an acceleration of $(0.4\hat i + 0.3\hat j) \; ms^{-2}$. Its speed after $10 \; s$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module