Question

How high does the missile go? (in m)

• A. $1320$
  
• B. $1300$
  
• C. $1323$
  
• D. $1326$
  

Answer 1

Answer: (D)

$1326$

Velocity of missile at a height 1000 m, $u=80m/s$
Let say the missile go further $h$ meter high after the engine stops.
Final velocity at that position $v=0$
Acceleration due to gravity $g=-9.8m/s^2$
Using $v^2-u^2=2gh$
$\therefore 0-{80}^2=2(-9.8)h$
$⟹h=326m$
Thus maximum height achieved by the missile $H_{max}=1000+326=1326m$