1. Tardigrade
  2. Question
  3. Physics
  4. A rocket is fired upward from the earth's surface such that it creates an acceleration of 19.6 ms -2. If after 5 s, its engine is switched off, the maximum height of the rocket from earth's surface would be

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A rocket is fired upward from the earth's surface such that it creates an acceleration of $19.6\, ms ^{-2}$. If after $5\,s$, its engine is switched off, the maximum height of the rocket from earth's surface would be

Motion in a Straight Line

Solution:

Velocity when the engine is switched off
$v=19.6 \times 5=98 ms ^{-1}$
$h_{\max }=h_1+h_2 \text { where } h_1=\frac{1}{2} a t^2\, \&\, h_2=\frac{v^2}{2 a} $
$h_{\max }=\frac{1}{2} \times 19.6 \times 5 \times 5+\frac{98 \times 98}{2 \times 9.8}=735 \,m$