The velocity of a body at time t = 0 is 10sqr | vedclass

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

Question

(A) Given: Initial velocity $\vec{u} = 10\sqrt{2} \, m/s$ (North-East),Acceleration $\vec{a} = 2 \, m/s^2$ (South),Time $t = 5 \, s$.Let the East dire

Vedclass · Accepted Answer

$10 \, m/s$,towards east

Vedclass · Answer

(A) Given: Initial velocity $\vec{u} = 10\sqrt{2} \, m/s$ (North-East),Acceleration $\vec{a} = 2 \, m/s^2$ (South),Time $t = 5 \, s$.Let the East direction be the $x$-axis and the North direction be the $y$-axis.Initial velocity $\vec{u} = 10\sqrt{2} \cos(45^\circ) \hat{i} + 10\sqrt{2} \sin(45^\circ) \hat{j} = 10 \hat{i} + 10 \hat{j} \, m/s$.Acceleration $\vec{a} = 0 \hat{i} - 2 \hat{j} \, m/s^2$.Final velocity $\vec{v} = \vec{u} + \vec{a}t = (10 \hat{i} + 10 \hat{j}) + (0 \hat{i} - 2 \hat{j}) 	imes 5 = 10 \hat{i} + (10 - 10) \hat{j} = 10 \hat{i} \, m/s$.The magnitude of velocity is $v = |10 \hat{i}| = 10 \, m/s$.The direction is along the positive $x$-axis,which is towards the East.

The velocity of a body at time $t = 0$ is $10\sqrt{2} \, m/s$ in the north-east direction and it is moving with an acceleration of $2 \, m/s^2$ directed towards the south. The magnitude and direction of the velocity of the body after $5 \, s$ will be

Similar Questions

When a body moves with a constant speed along a circle,

$A$ 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 ........... $m$.

Two particles move on a circular path (one just inside and the other just outside) with angular velocities $\omega$ and $5\omega$ starting from the same point. Then

$A$ person moves from $A$ to $B$ on a circular path as shown in the figure. If the distance travelled by him is $60 \, m$,then the magnitude of the displacement would be $..... \, m$. (Given $\cos 135^{\circ} = -0.7$)

Bullets are fired in all directions with the same velocity $u$. What is the maximum area covered by them?

Vedclass Test Series

Exam Paper Generator

Online Exam Module