Question

. A car starting from rest acquires a velocity 180m/sin 0.05h. Find the acceleration of the car.

Answer 1

$\color{darkblue}\underline{\underline{\sf Given-}}$

• Velocity of car initially (u) = 0
• Acquires velocity (v) = 180 m/s
• Time (t) = 0.05h

$\underline{\sf Convert\:hours\:into\:second}$

$\implies{\sf t = 0.05×60}$

$\implies{\sf t = 3min × 60 }$

$\color{orange}\implies{\sf t = 180sec }$

$\color{darkblue}\underline{\underline{\sf To \: Find-}}$

• Acceleration of car (a)

➩ Newton's first law of motion

$\Large\color{violet}\bullet\underline{\boxed{\sf v=u+at}}$

$\implies{\sf 180=0+a×180}$

$\implies{\sf a=\dfrac{180}{180}}$

$\color{red}\implies{\sf a=1\:m/s^2}$

$\color{darkblue}\underline{\underline{\sf Answer-}}$

Acceleration of car is $\color{red}{\sf 1\:m/s^2}$.