Question

A dragster accelerates to a speed of $112m/s$ over a distance of $398m$. Determine the acceleration (assume uniform) of the dragster.

• A. $5.8m/s^2$
  
• B. $11.8m/s^2$
  
• C. $15m/s^2$
  
• D. $15.8m/s^2$
  

Answer 1

The correct option is D $15.8m/s^2$

We assume that the dragster accelerates from rest. So, the initial velocity of it is $u=0m/s$

Given, final velocity is $v=112m/s$ and traveled distance, $d=398m$

Let $a$ be the acceleration.

Using formula $v^2-u^2=2ad$,

$\therefore$ $(112{)}^2-0^2=2a(398)$

$⟹a=15.76\sim 15.8m/s^2$