Question

A car increases its speed from 60kmh to 80km/h
in 5 seconds. Find the acceleration of the car.​

Answer 1

Given :

• Initial Velocity = 60km/h
• Final Velocity = 80km/h
• Time Taken = 5 seconds

To Find :

• Acceleration of the car.

Solution :

$\longmapsto\tt{Initial\:Velocity(u)=60km/h=16.67m/s}$

$\longmapsto\tt{Final\:Velocity(v)=80/h=22.22m/s}$

$\longmapsto\tt{Time\:Taken(t)=5\:sec.}$

Using 1 st Equation :

$\longmapsto\tt\boxed{v=u+at}$

Putting Values :

$\longmapsto\tt{22.22=16.67+a(5)}$

$\longmapsto\tt{22.22-16.67=5a}$

$\longmapsto\tt{5.55=5a}$

$\longmapsto\tt{a=\cancel\dfrac{5.55}{5}}$

$\longmapsto\tt\bf{a={1.11\:m/s}^{2}}$

So , The Acceleration of theCar is 1.11m/s²...

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Three Equations of Motion :

• v = u + at
• s = ut + 1/2 at²
• v² - u² = 2as

Here :

• v = Final Velocity
• u = Initial Velocity
• s = Distance
• t = Time Taken
• a = Acceleration

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Answer 2

$\begin{gathered}\frak{Given}\begin{cases}\sf{\:\:\; Initial \: Velocity = 60km/h} \\ \sf{ \: \: \: Final \: Velocity = 80km/h} \\ \sf{ \: \: \: Time \: Taken = 5 \: seconds}\end{cases}\end{gathered}$

$\: \:$

$\begin{gathered}\frak{To Find}\begin{cases}\sf{\:\:\;{Acceleration \: of \: the \: car.}}\end{cases}\end{gathered}$

$\: \:$

$\large {\frak{ \pmb{Solution :  }}}$

$\sf{Initial\:Velocity(u)=60km/h=16.67m/s}$

$\sf { Final\:Velocity(v)=80/h=22.22m/s}$

$\sf{ Time\:Taken(t)=5\:sec.}$

$\: \:$

$\large {\frak{ \pmb{Let's \: use \: the \: 1st \: equation :}}}$

$\dashrightarrow{ \green{\boxed{ \tt{v=u+at}}}}$

$\: \:$

$\large{ \frak{ \pmb{Putting Values :}}}$

$\longmapsto\tt{22.22=16.67+a(5)}$

$\longmapsto\tt{22.22-16.67=5a}$

$\longmapsto\tt{5.55=5a}$

$\longmapsto\tt{a=\cancel\dfrac{5.55}{5}}$

$\longmapsto\tt{ \purple{a={1.11\:m/s}^{2}}}$

$\: \:$

$\dag \: { \underline{ \boxed{ \sf{So , The acceleration of the \: car is \: 1 .11m/s²}}}}$

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$\large{ \frak{ \pmb{ \underline{Three Equations of Motion :}}}}$

◕ v = u + at

◕ s = ut + 1/2 at²

◕ v² - u² = 2as

$\: \:$

$\large{ \frak{ \pmb{ \underline{Here :}}}}$

⬩ v = Final Velocity

⬩ u = Initial Velocity

⬩ s = Distance

⬩ t = Time Taken

⬩ a = Acceleration

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