Question

a car was travelling with a speed of 20 metre per second and after sometimes it reduces its speed to 10m/s in 20 second. what is the acceleration caused in the car​

Answer 1

$\bold\red{\underline{\underline{Answer:}}}$

$\bold\orange{Given:-}$

$\bold{Initial \ speed(u)=20m/s}$

$\bold{Final \ speed(v)=10m/s}$

$\bold{Time(t)=20s}$

$\bold\pink{To \ find: \ acceleration(a)}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{v=u+at}$

$\bold{By \ Newton's \ first \ equation \ of \ motion}$

$\bold{10=20+a×20}$

$\bold{a×20=10-20}$

$\bold{a×20=-10}$

$\bold{a=\frac{-10}{20}}$

$\bold{a=\frac{-1}{2}}$

Therefore acceleration is -0.5m/s^2

Answer 2

⠀⠀⠀$\huge\underline{ \mathrm{ \red{QueS{\pink{tiOn}}}}}$

A car was travelling with a speed of 20 metre per second and after sometimes it reduces its speed to 10m/s in 20 second. what is the acceleration caused in the car.

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\underline{ \underline{ \color{blue}{ \bold{AnSweR}}}}$

acceleration of car = -0.5m/s²

⠀⠀⠀$\huge{ \underline{ \purple{ \bold{ \underline{ \mathrm{ExPlanA{\green{TiOn }}}}}}}}$

$\bf{\color{red}{Given}\begin{cases}\textsf{Initial \:speed=20m/s}\\\textsf{Time=20s}\\\textsf{final \: speed=10m/s} \end{cases}}$

$\large\underline{ \underline{ \red{ \bold {To \:Find}}}}$

we need to find acceleration of car.

⠀⠀⠀⠀⠀$\huge\underline{ \underline{ \orange{ \bold{sOluTiOn}}}}$

⠀⠀⠀⠀⠀

$\small\underbrace{\green{\bf{we \:are\: using \:Newton's\:1st \: equation\:of\: motion }}}$

⠀⠀⠀⠀⠀$\boxed{\color{blue}{\bf{V=u+at}}}$

➩⠀⠀⠀⠀⠀10 = 20 + a × 20

➩⠀⠀⠀⠀⠀20a = -20 + 10

➩⠀⠀⠀⠀⠀20a = -10

➩⠀⠀⠀⠀⠀a = -½

➩⠀⠀⠀⠀⠀a = -0.5m/s²

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