Question

Ima Hurryin is approaching a stoplight moving with a velocity of $+30.0m/s$. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is $-8.00m/s^2$, then determine the displacement of the car during the skidding process. (Note that the direction of the velocity and the acceleration vectors are denoted by a $+$ and a $-$ sign.)

• A. $56.3m$
  
• B. $56m$
  
• C. $46.3m$
  
• D. $66.3m$
  

Answer 1

The correct option is A $56.3m$

$\nu =0$

$\mu =30㎧;a=-8㎨$

$s=?$

${\nu }^2={\mu }^2+2as$

$0={\left(30\right)}^2+2(-8)s$

$-16s=900$

$s=\frac{900}{16}$

$s=56.3m$

$\therefore$Displacement of the car during the skidding process is $56.3m$