The distance travelled by a particle starting | vedclass

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

Question

$\begin{array}{l}
{m{Distance}}\,travelled\,in\,the\,{3^{rd}}\,{m{second}}\
 = {m{Distance}}\,travelled\,in\,3\,s\
\,\,\,\,\,\,\,\,\,\

Vedclass · Accepted Answer

$\frac{{10}}{3}\,m$

Vedclass · Answer

$\begin{array}{l}
{m{Distance}}\,travelled\,in\,the\,{3^{rd}}\,{m{second}}\
 = {m{Distance}}\,travelled\,in\,3\,s\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, - \,d{m{istance}}\,{m{travelled}}\,{m{in}}\,\,{m{2}}\,\,{m{s}}{m{.}}\
As,\,u = 0,\
{S_{\left( {{3^{rd}}s} ight)}} = \frac{1}{2}a{.3^2} - \frac{1}{2}a \cdot {2^2} = \frac{1}{2}a \cdot 5\
Give\,a\frac{4}{5}m{s^{ - 2}};\,\,\,	herefore \,\,\,{S_{\left( {{3^{rd}}s} ight)}} = \frac{1}{2} 	imes \frac{4}{3} 	imes 5 = \frac{{10}}{3}\,m
\end{array}$

The distance travelled by a particle starting from rest and moving with an acceleration $\frac{4}{3}$ $ms^{-2}$ in the third second is

Similar Questions

A body is moving from rest under constant acceleration and let ${S_1}$ be the displacement in the first $(p - 1)$ sec and ${S_2}$ be the displacement in the first $p\,\sec .$ The displacement in ${({p^2} - p + 1)^{th}}$ sec. will be

A smooth inclined plane is inclined at an angle $\theta$ with horizontal. A body starts from rest and slides down the inclined surface. Then the time taken by it to reach the bottom is

Obtain equations of motion for constant acceleration using method of calculus.

A bullet moving with a velocity of $100\, m/s$ can just penetrate two planks of equal thickness. The number of such planks penetrated by the same bullet, when the velocity is doubled, will be

A truck starts from rest and accelerates uniformly at $2.0\; m s ^{-2} .$ At $t=10\; s$, a stone is dropped by a person standing on the top of the truck ($6 \;m $ high from the ground). What are the $(a)$ velocity, and $(b)$ acceleration of the stone at $t= 11\;s$? (Neglect atr resistance.)