Question

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of $444m/s$ in $1.83$ seconds, then what is the distance that the sled travels? (in m)

• A. $406m$
  
• B. $40m$
  
• C. $46m$
  
• D. $506m$
  

Answer 1

The correct option is A $406m$

Given, initial velocity $u=0m/s,$ final velocity $v=444m/s$ and time $t=1.83s$

If $a$ be the acceleration.

Using $v=u+at$,

we get $444=0+a\left(1.83\right)$

$⟹$ $a=444/1.83=242.62\sim 243m/s^2$

If $d$ be the traveled distance by sled.

Using formula $v^2-u^2=2aS$

${444}^2-0^2=2\left(243\right)d$

$⟹$ $d=405.63\sim 406m$