Question

7. A trian stating from rest and accelerate 10 ms 2 after 2 second. Find the distance travelled by the train. (hint: use S = ut +
2
1/2 at formula)
$jhj$
​

Answer 1

Given :

• ➬ A train starts from rest and its acceleration after 2 s is 10 m/s² .

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To Find :

• ➬ Distance Covered = ?

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Solution :

❒ Formula Used :

$\large{\color{cyan}{\bigstar}} \: \: \: {\underline{\overline{\boxed{\color{red}{\sf{ s = ut + \dfrac{1}{2} at²}}}}}}$

Where :

• S = Distance Covered
• U = Initial Velocity
• T = Time
• a = Acceleration

$\qquad{━━━━━━━━━━━}$

❒ Calculating the Distance Covered :

${\longmapsto{\qquad{\sf{s = ut + \dfrac{1}{2} at² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ s = 0 \times 2 + \dfrac{1}{2} \times 10 \times (2)² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ s = 0 + \dfrac{1}{2} \times 10 \times 4 }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ s = 0 + \dfrac{1}{2} \times 40 }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ s = \dfrac{1}{\cancel2} \times \cancel{40} }}}} \\ \\ \ {\qquad{\pink{\leadsto{\underline{\underbrace{\sf{ Distance \: Covered \: = {\color{green}{\sf{ 20 \: m}}}}}}}}}}$

$\qquad{━━━━━━━━━━━}$

❒ Therefore :

❝ Distance covered by the train in 2 seconds is 20 m . ❞

${\orange{\underline{\bigstar{\blue{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬{\orange{\bigstar}}}}}}}$

✧ Know More : ✧

$\begin{gathered}\color{gray}{\large \qquad \boxed{\boxed{\begin{array}{cc} \ {\red{\underline{\orange{\sf{3 \: Equations \: of \: Motion :- }}}}} \\ \\ \ ➳ \: \: \bf v = u + at \\ \\ \ ➳ \: \: \bf s = ut + \dfrac{1}{2}a {t}^{2} \\ \\ \ ➳ \: \: \bf{v}^{2} - {u}^{2} = 2as\end{array}}}}\end{gathered}$

Answer 2

Given:-

• A train starting from rest and accelerates at 10 ms² after 2 seconds.

To Find:-

• The distance travelled by the train.

Solution:-

Formula used here:-

$\star {\underbrace{\underline { \boxed {\pmb {\rm{S = ut + \frac{1}{2}a {t}^{2} }}}}}}$

Here,

• S stands for Distance covered
• u stands for Initial Velocity
• t stands for Time
• a stands for Acceleration

ATQ:-

$\sf :\implies{S = ut + \frac{1}{2}a {t}^{2}}$

$\quad$

$\sf:\implies{S = 0 \times 2 + \frac{1}{2} \times 10 \times (2)^2 }$

$\quad$

$\sf:\implies{S = 0+ \frac{1}{2} \times 10 \times 4}$

$\quad$

$\sf:\implies{S = 0 + \frac{1}{2} \times 40}$

$\quad$

$\sf:\implies{S = \frac{1}{\cancel{2}} \times \cancel {40} }$

$\quad$

$★{\underline {\boxed{\sf{\pmb{S = 20}}}}}$

∴The Distance Travelled by the train is 20km.

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