Kinematics Question 676
Question: At the height 80 m, an aeroplane is moving with 150 m/s. A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped (given $ g=10m/s^{2} $ )
Options:
A) 605.3 m
B) 600 m
C) 80 m
D) 230 m
Show Answer
Answer:
Correct Answer: A
Solution:
[a] The horizontal distance covered by bomb, $ BC=v _{H}\times \sqrt{\frac{2h}{g}}=150\sqrt{\frac{2\times 80}{10}}=660m $
The distance of target from dropping point of bomb,
$ AC=\sqrt{AB^{2}+BC^{2}}=\sqrt{{{(80)}^{2}}+{{(600)}^{2}}}=605.3m $
