what must be minimum velocity of a missile if it is fired like projectile and is intended to strike the target 100m away?
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Answer:
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Answered by
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Explanation:
the time taken to reach the position
be t
then R=u²sin(2ø)/g
R=100
100=u²sin(2ø)/g
100g=u²sin(2ø)
100g=2u²sinø cosø
50g/cosø=u²sinø
50g/ucosø=usinø
t=2u sinø/g
t=2(50g/ucosø)/g
t=100g/u cosø ×g
t=100/u cosø
let ø=45°
t=100/u/_/2
t=100_/2/u
ut=100_/2
u=100_/2/t
100= 20000 sin90/t²g
100=20000/t² 10
100=2000/t²
100t²=2000
t²=2000/100
t²=20
t=2_/5s
t=2u sinø/g
2_/5=2u sin 45/g
2_/5g=2u/_/2
2_/5g=_/2u
20_/5=_/2u
u=10 root 10 m/s
it is the answer i think
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