Thank you for reporting, we will resolve it shortly
Q.
A bee flies a line from a point $A$ to another point $B$ in $4 s$ with a velocity of $|t-2| ms ^{-1}$. The distance between $A$ and $B$ in metre is
Motion in a Straight Line
Solution:
Here, $v=|t-2| ms ^{-1}$
$ v =t-2, $ when $ t > 2 s $
$ v =2-t, $ when $ t < 2 s $
$ \therefore a =\frac{d v}{d t}=1 ms ^{-2} $ when $t > 2 s $
$a =-1 ms ^{-2} $ when $t < 2 s$
In the direction of motion from $A$ to $C$, bee decelerates but for $C$ to $B$, bee accelerates.
Let $ A C =s_{1}, B C=s_{2} $
$u_{A} =2 ms ^{-1}, t=0 $
$200100,(m)\, 300 \,m _{ rel }=+=u_{C} =0 at$
$\therefore s_{1} =\left(\frac{u_{A}+u_{C}}{2}\right) t_{1}$
$s_{2} =\left(\frac{u_{C}+u_{B}}{2}\right) t_{2} $
$\therefore s=s_{1}+s_{2} =\left(\frac{2+0}{2}\right) 2+\left(\frac{0+2}{2}\right) 2=4 \,m$
